Koukoulopoulos, Dimitris Rational approximations of irrational numbers. (English) Zbl 07823046 Beliaev, Dmitry (ed.) et al., International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6–14, 2022. Volume 3. Sections 1–4. Berlin: European Mathematical Society (EMS). 1894-1916 (2023). MSC: 11J83 05C40 PDFBibTeX XMLCite \textit{D. Koukoulopoulos}, in: International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6--14, 2022. Volume 3. Sections 1--4. Berlin: European Mathematical Society (EMS). 1894--1916 (2023; Zbl 07823046) Full Text: DOI arXiv OA License
Gamburd, Alexander Arithmetic and dynamics on varieties of Markoff type. (English) Zbl 07823043 Beliaev, Dmitry (ed.) et al., International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6–14, 2022. Volume 3. Sections 1–4. Berlin: European Mathematical Society (EMS). 1800-1836 (2023). MSC: 14G12 11N36 11D45 37P55 PDFBibTeX XMLCite \textit{A. Gamburd}, in: International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6--14, 2022. Volume 3. Sections 1--4. Berlin: European Mathematical Society (EMS). 1800--1836 (2023; Zbl 07823043) Full Text: DOI OA License
Soundararajan, Kannan The work of James Maynard. (English) Zbl 07822668 Beliaev, Dmitry (ed.) et al., International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6–14, 2022. Volume 1. Prize lectures. Berlin: European Mathematical Society (EMS). 66-80 (2023). MSC: 01A70 11N05 11N32 11N35 11J83 PDFBibTeX XMLCite \textit{K. Soundararajan}, in: International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6--14, 2022. Volume 1. Prize lectures. Berlin: European Mathematical Society (EMS). 66--80 (2023; Zbl 07822668) Full Text: DOI arXiv OA License
Safra, Muli (Shmuel) Mathematics of computation through the lens of linear equations and lattices. (English) Zbl 07821717 Beliaev, Dmitry (ed.) et al., International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6–14, 2022. Volume 6. Sections 12–14. Berlin: European Mathematical Society (EMS). 4914-4969 (2023). MSC: 03D15 11H06 11P21 52C07 68W25 11D04 PDFBibTeX XMLCite \textit{M. Safra}, in: International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6--14, 2022. Volume 6. Sections 12--14. Berlin: European Mathematical Society (EMS). 4914--4969 (2023; Zbl 07821717) Full Text: DOI OA License
Deppert, Max A.; Jansen, Klaus; Klein, Kim-Manuel Fuzzy simultaneous congruences. (English) Zbl 07724212 Bonchi, Filippo (ed.) et al., 46th international symposium on mathematical foundations of computer science, MFCS 2021, August 23–27, 2021, Tallinn, Estonia. Wadern: Schloss Dagstuhl – Leibniz-Zentrum für Informatik. LIPIcs – Leibniz Int. Proc. Inform. 202, Article 39, 16 p. (2021). MSC: 68Qxx PDFBibTeX XMLCite \textit{M. A. Deppert} et al., LIPIcs -- Leibniz Int. Proc. Inform. 202, Article 39, 16 p. (2021; Zbl 07724212) Full Text: DOI arXiv
Jakobsen, Sune Kristian; Simonsen, Jakob Grue Liouville numbers and the computational complexity of changing bases. (English) Zbl 07633496 Anselmo, Marcella (ed.) et al., Beyond the horizon of computability. 16th conference on computability in Europe, CiE 2020, Fisciano, Italy, June 29 – July 3, 2020. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 12098, 50-62 (2020). MSC: 68Qxx PDFBibTeX XMLCite \textit{S. K. Jakobsen} and \textit{J. G. Simonsen}, Lect. Notes Comput. Sci. 12098, 50--62 (2020; Zbl 07633496) Full Text: DOI
Kamel Ariffin, Muhammad Rezal; Ghafar, Amir Hamzah Abd; Asbullah, Muhammad Asyraf Attacking RSA using an arbitrary parameter. (English) Zbl 1504.94155 Nitaj, Abderrahmane (ed.) et al., Progress in cryptology – AFRICACRYPT 2020. 12th international conference on cryptology in Africa, Cairo, Egypt, July 20–22, 2020. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 12174, 382-399 (2020). MSC: 94A60 11J99 PDFBibTeX XMLCite \textit{M. R. Kamel Ariffin} et al., Lect. Notes Comput. Sci. 12174, 382--399 (2020; Zbl 1504.94155) Full Text: DOI
Dadush, Daniel; Tiwari, Samarth On the complexity of branching proofs. (English) Zbl 07561762 Saraf, Shubhangi (ed.), 35th computational complexity conference, CCC 2020, July 28–31, 2020, Saarbrücken, Germany, virtual conference. Proceedings. Wadern: Schloss Dagstuhl – Leibniz Zentrum für Informatik. LIPIcs – Leibniz Int. Proc. Inform. 169, Article 34, 35 p. (2020). MSC: 68Q25 PDFBibTeX XMLCite \textit{D. Dadush} and \textit{S. Tiwari}, LIPIcs -- Leibniz Int. Proc. Inform. 169, Article 34, 35 p. (2020; Zbl 07561762) Full Text: DOI arXiv
Ghosh, Anish Topics in homogeneous dynamics and number theory. (English) Zbl 1482.37003 Nagar, Anima (ed.) et al., Elements of dynamical systems. Lecture notes form NCM school, Delhi, India, December 4–23, 2017. New Delhi: Hindustan Book Agency. Texts Read. Math. 79, 165-186 (2020). MSC: 37A05 37A10 37A17 37A44 11J13 11J86 PDFBibTeX XMLCite \textit{A. Ghosh}, Texts Read. Math. 79, 165--186 (2020; Zbl 1482.37003) Full Text: arXiv
Marmi, Stefano; Ulcigrai, Corinna; Yoccoz, Jean-Christophe On Roth type conditions, duality and central Birkhoff sums for i.e.m. (English) Zbl 1467.37040 Crovisier, Sylvain (ed.) et al., Some aspects of the theory of dynamical systems: a tribute to Jean-Christophe Yoccoz. Volume II. Paris: Société Mathématique de France (SMF). Astérisque 416, 65-132 (2020). Reviewer: George Stoica (Saint John) MSC: 37E05 37A20 37A30 37E45 11K60 PDFBibTeX XMLCite \textit{S. Marmi} et al., Astérisque 416, 65--132 (2020; Zbl 1467.37040) Full Text: DOI arXiv
Nazer, Bobak; Ordentlich, Or Characterizing the performance of wireless communication architectures via basic Diophantine approximation bounds. (English) Zbl 1460.94004 Beresnevich, Victor (ed.) et al., Number theory meets wireless communications. Based on lectures given at the workshop on interactions between number theory and wireless communication, York, UK, July 4–16, 2016. Cham: Springer. Math. Eng. (Cham), 69-98 (2020). MSC: 94A05 94A15 11Jxx PDFBibTeX XMLCite \textit{B. Nazer} and \textit{O. Ordentlich}, in: Number theory meets wireless communications. Based on lectures given at the workshop on interactions between number theory and wireless communication, York, UK, July 4--16, 2016. Cham: Springer. 69--98 (2020; Zbl 1460.94004) Full Text: DOI
Beresnevich, Victor; Velani, Sanju Number theory meets wireless communications: an introduction for dummies like us. (English) Zbl 1460.94003 Beresnevich, Victor (ed.) et al., Number theory meets wireless communications. Based on lectures given at the workshop on interactions between number theory and wireless communication, York, UK, July 4–16, 2016. Cham: Springer. Math. Eng. (Cham), 1-67 (2020). MSC: 94A05 11Jxx PDFBibTeX XMLCite \textit{V. Beresnevich} and \textit{S. Velani}, in: Number theory meets wireless communications. Based on lectures given at the workshop on interactions between number theory and wireless communication, York, UK, July 4--16, 2016. Cham: Springer. 1--67 (2020; Zbl 1460.94003) Full Text: DOI arXiv
Martin, Daniel E. Reductions between short vector problems and simultaneous approximation. (English) Zbl 1472.11320 Galbraith, Steven D. (ed.), ANTS XIV. Proceedings of the fourteenth algorithmic number theory symposium, Auckland, New Zealand, virtual event, June 29 – July 4, 2020. Berkeley, CA: Mathematical Sciences Publishers (MSP). Open Book Ser. 4, 335-351 (2020). MSC: 11Y16 11J13 11H06 68W25 PDFBibTeX XMLCite \textit{D. E. Martin}, Open Book Ser. 4, 335--351 (2020; Zbl 1472.11320) Full Text: DOI arXiv
Javanpeykar, Ariyan The Lang-Vojta conjectures on projective pseudo-hyperbolic varieties. (English) Zbl 1452.14017 Nicole, Marc-Hubert (ed.), Arithmetic geometry of logarithmic pairs and hyperbolicity of moduli spaces. Hyperbolicity in Montréal. Based on three workshops, Montréal, Canada, 2018–2019. Cham: Springer. CRM Short Courses, 135-196 (2020). MSC: 14G05 11G35 32Q45 11Jxx 14-02 11-02 14J50 PDFBibTeX XMLCite \textit{A. Javanpeykar}, in: Arithmetic geometry of logarithmic pairs and hyperbolicity of moduli spaces. Hyperbolicity in Montréal. Based on three workshops, Montréal, Canada, 2018--2019. Cham: Springer. 135--196 (2020; Zbl 1452.14017) Full Text: DOI arXiv
Hussain, Mumtaz; Mahboubi, Seyyed Hassan; Motahari, Abolfazl Seyed Metrical theory for small linear forms and applications to interference alignment. (English) Zbl 1451.11084 Bailey, David H. (ed.) et al., From analysis to visualization. A celebration of the life and legacy of Jonathan M. Borwein, Callaghan, Australia, September 25–29, 2017. Cham: Springer. Springer Proc. Math. Stat. 313, 377-393 (2020). Reviewer: Symon Serbenyuk (Kyïv) MSC: 11J83 94A40 11J13 11K60 PDFBibTeX XMLCite \textit{M. Hussain} et al., Springer Proc. Math. Stat. 313, 377--393 (2020; Zbl 1451.11084) Full Text: DOI
Waldschmidt, Michel Thue Diophantine equations. (English) Zbl 1456.11034 Chakraborty, Kalyan (ed.) et al., Class groups of number fields and related topics. Collected papers presented at the first international conference, ICCGNFRT, Harish-Chandra Research Institute, Allahabad, India, September 4–7, 2017. Singapore: Springer. 25-41 (2020). Reviewer: Nikos Tzanakis (Iraklion) MSC: 11D59 11J68 11J86 PDFBibTeX XMLCite \textit{M. Waldschmidt}, in: Class groups of number fields and related topics. Collected papers presented at the first international conference, ICCGNFRT, Harish-Chandra Research Institute, Allahabad, India, September 4--7, 2017. Singapore: Springer. 25--41 (2020; Zbl 1456.11034) Full Text: DOI
Ganguly, Arijit; Ghosh, Anish The inhomogeneous Sprindzhuk conjecture over a local field of positive characteristic. (English) Zbl 1448.11143 Moree, Pieter (ed.) et al., Dynamics: topology and numbers. Conference, Max Planck Institute for Mathematics, Bonn, Germany, July 2–6, 2018. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 744, 191-203 (2020). Reviewer: Symon Serbenyuk (Kyïv) MSC: 11J83 11K60 37D40 37A17 22E40 PDFBibTeX XMLCite \textit{A. Ganguly} and \textit{A. Ghosh}, Contemp. Math. 744, 191--203 (2020; Zbl 1448.11143) Full Text: DOI arXiv
Gleixner, Ambros; Steffy, Daniel E. Linear programming using limited-precision oracles. (English) Zbl 1436.90076 Lodi, Andrea (ed.) et al., Integer programming and combinatorial optimization. 20th international conference, IPCO 2019, Ann Arbor, MI, USA, May 22–24, 2019. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 11480, 399-412 (2019). MSC: 90C05 90C60 PDFBibTeX XMLCite \textit{A. Gleixner} and \textit{D. E. Steffy}, Lect. Notes Comput. Sci. 11480, 399--412 (2019; Zbl 1436.90076) Full Text: DOI arXiv
Mora, Gaspar A fixed point theory linked to the zeros of the partial sums of the Riemann zeta function. In honour of Manuel López-Pellicer. (English) Zbl 1443.11173 Ferrando, Juan Carlos (ed.), Descriptive topology and functional analysis. II. In honour of Manuel López-Pellicer mathematical work. Proceedings of the 2nd meeting in topology and functional analysis, Elche, Spain, June 7–8, 2018. Cham: Springer. Springer Proc. Math. Stat. 286, 241-266 (2019). MSC: 11M26 PDFBibTeX XMLCite \textit{G. Mora}, Springer Proc. Math. Stat. 286, 241--266 (2019; Zbl 1443.11173) Full Text: DOI
Allen, Demi; Troscheit, Sascha The mass transference principle: ten years on. (English) Zbl 1423.11124 Niemeyer, Robert G. (ed.) et al., Horizons of fractal geometry and complex dimensions. 2016 summer school on fractal geometry and complex dimensions, in celebration of the 60th birthday of Michel Lapidus, California Polytechnic State University, San Luis Obispo, California, USA, June 21–29, 2016. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 731, 1-33 (2019). MSC: 11J83 11J13 28A78 11K60 PDFBibTeX XMLCite \textit{D. Allen} and \textit{S. Troscheit}, Contemp. Math. 731, 1--33 (2019; Zbl 1423.11124) Full Text: DOI arXiv
Browning, T. D. How often does the Hasse principle hold? (English) Zbl 1451.14074 de Fernex, Tommaso (ed.) et al., Algebraic geometry: Salt Lake City 2015. 2015 summer research institute in algebraic geometry, University of Utah, Salt Lake City, UT, USA, July 13–31, 2015. Proceedings. Part 2. Providence, RI: American Mathematical Society (AMS); Cambridge, MA: Clay Mathematics Institute. Proc. Symp. Pure Math. 97, 2, 89-102 (2018). MSC: 14G12 14G05 11D25 11G35 14F22 14M22 PDFBibTeX XMLCite \textit{T. D. Browning}, Proc. Symp. Pure Math. 97, 89--102 (2018; Zbl 1451.14074) Full Text: DOI
Jiang, Kai; Zhang, Pingwen Numerical mathematics of quasicrystals. (English) Zbl 1451.65247 Sirakov, Boyan (ed.) et al., Proceedings of the international congress of mathematicians 2018, ICM 2018, Rio de Janeiro, Brazil, August 1–9, 2018. Volume IV. Invited lectures. Hackensack, NJ: World Scientific; Rio de Janeiro: Sociedade Brasileira de Matemática (SBM). 3591-3609 (2018). MSC: 65Z05 52C23 11K70 11K60 PDFBibTeX XMLCite \textit{K. Jiang} and \textit{P. Zhang}, in: Proceedings of the international congress of mathematicians 2018, ICM 2018, Rio de Janeiro, Brazil, August 1--9, 2018. Volume IV. Invited lectures. Hackensack, NJ: World Scientific; Rio de Janeiro: Sociedade Brasileira de Matemática (SBM). 3591--3609 (2018; Zbl 1451.65247) Full Text: DOI
Ghosh, Anish Diophantine approximation on subspaces of \({\mathbb R}^n\) and dynamics on homogeneous spaces. (English) Zbl 1410.11102 Ji, Lizhen (ed.) et al., Handbook of group actions. Volume IV. Somerville, MA: International Press; Beijing: Higher Education Press. Adv. Lect. Math. (ALM) 41, 509-527 (2018). Reviewer: Symon Serbenyuk (Kyiv) MSC: 11J83 11K60 11-02 37A17 37A45 11J13 11J99 PDFBibTeX XMLCite \textit{A. Ghosh}, Adv. Lect. Math. (ALM) 41, 509--527 (2018; Zbl 1410.11102) Full Text: arXiv
Matheus, Carlos The Lagrange and Markov spectra from the dynamical point of view. (English) Zbl 1447.37011 Ferenczi, Sébastien (ed.) et al., Ergodic theory and dynamical systems in their interactions with arithmetics and combinatorics. Lecture notes from the workshops held at the CIRM Jean-Morlet Chair, Marseille, France, Fall 2016. Cham: Springer; Paris: Société Mathématique de France SMF). Lect. Notes Math. 2213, 259-291 (2018). Reviewer: Simon Baker (Birmingham) MSC: 37A44 37C45 11J06 11K60 11J68 11J70 PDFBibTeX XMLCite \textit{C. Matheus}, Lect. Notes Math. 2213, 259--291 (2018; Zbl 1447.37011) Full Text: DOI arXiv
Bahrdt, Daniel; Seybold, Martin P. Rational points on the unit sphere. Approximation complexity and practical constructions. (English) Zbl 1457.65012 Burr, Michael (ed.), Proceedings of the 42nd international symposium on symbolic and algebraic computation, ISSAC 2017, Kaiserslautern, Germany, July 25–28, 2017. New York, NY: Association for Computing Machinery (ACM). 29-36 (2017). MSC: 65D18 11J99 PDFBibTeX XMLCite \textit{D. Bahrdt} and \textit{M. P. Seybold}, in: Proceedings of the 42nd international symposium on symbolic and algebraic computation, ISSAC 2017, Kaiserslautern, Germany, July 25--28, 2017. New York, NY: Association for Computing Machinery (ACM). 29--36 (2017; Zbl 1457.65012) Full Text: DOI arXiv
Berkholz, Christoph; Grohe, Martin Linear Diophantine equations, group CSPs, and graph isomorphism. (English) Zbl 1410.68153 Klein, Philip N. (ed.), Proceedings of the 28th annual ACM-SIAM symposium on discrete algorithms, SODA 2017, Barcelona, Spain, January 16–19, 2017. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM); New York, NY: Association for Computing Machinery (ACM). 327-339 (2017). MSC: 68Q25 05C60 11D04 68Q17 PDFBibTeX XMLCite \textit{C. Berkholz} and \textit{M. Grohe}, in: Proceedings of the 28th annual ACM-SIAM symposium on discrete algorithms, SODA 2017, Barcelona, Spain, January 16--19, 2017. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM); New York, NY: Association for Computing Machinery (ACM). 327--339 (2017; Zbl 1410.68153) Full Text: DOI arXiv
Parkkonen, Jouni; Paulin, Frédéric A survey of some arithmetic applications of ergodic theory in negative curvature. (English) Zbl 1412.37002 Hasselblatt, Boris (ed.), Ergodic theory and negative curvature. CIRM Jean-Morlet Chair, Fall 2013. Cham: Springer. Lect. Notes Math. 2164, 293-326 (2017). Reviewer: Tobias Mühlenbruch (Hagen) MSC: 37-02 37A45 11J06 11K60 PDFBibTeX XMLCite \textit{J. Parkkonen} and \textit{F. Paulin}, Lect. Notes Math. 2164, 293--326 (2017; Zbl 1412.37002) Full Text: DOI arXiv Link
Wang, Baowei; Wu, Jun A survey on the dimension theory in dynamical Diophantine approximation. (English) Zbl 1432.11096 Barral, Julien (ed.) et al., Recent developments in fractals and related fields. Conference on fractals and related fields III, Ile de Porquerolles, France, September 2015. Cham: Birkhäuser/Springer. Trends Math., 261-294 (2017). Reviewer: Simon Kristensen (Aarhus) MSC: 11J83 28A78 PDFBibTeX XMLCite \textit{B. Wang} and \textit{J. Wu}, in: Recent developments in fractals and related fields. Conference on fractals and related fields III, Ile de Porquerolles, France, September 2015. Cham: Birkhäuser/Springer. 261--294 (2017; Zbl 1432.11096) Full Text: DOI
Beck, József Siegel’s lemma is sharp. (English) Zbl 1441.11178 Loebl, Martin (ed.) et al., A journey through discrete mathematics. A tribute to Jiří Matoušek. Cham: Springer. 165-206 (2017). Reviewer: Sam Chow (Coventry) MSC: 11J13 05A99 05B20 11H06 PDFBibTeX XMLCite \textit{J. Beck}, in: A journey through discrete mathematics. A tribute to Jiří Matoušek. Cham: Springer. 165--206 (2017; Zbl 1441.11178) Full Text: DOI
Einsiedler, Manfred; Ward, Tom Diophantine problems and homogeneous dynamics. (English) Zbl 1412.37001 Badziahin, Dzmitry (ed.) et al., Dynamics and analytic number theory. Proceedings of the Durham Easter School, Durham, UK, March 31 – April 4, 2014. Cambridge: Cambridge University Press. Lond. Math. Soc. Lect. Note Ser. 437, 258-288 (2016). Reviewer: Christoph Aistleitner (Graz) MSC: 37-02 37A45 37A17 11K16 11P21 11J99 PDFBibTeX XMLCite \textit{M. Einsiedler} and \textit{T. Ward}, Lond. Math. Soc. Lect. Note Ser. 437, 258--288 (2016; Zbl 1412.37001) Full Text: DOI
Nowak, Werner Georg Simultaneous Diophantine approximation: searching for analogues of Hurwitz’s theorem. (English) Zbl 1402.11102 Rassias, Themistocles M. (ed.) et al., Essays in mathematics and its applications. In honor of Vladimir Arnold. Cham: Springer (ISBN 978-3-319-31336-8/hbk; 978-3-319-31338-2/ebook). 181-197 (2016). MSC: 11J13 11-02 PDFBibTeX XMLCite \textit{W. G. Nowak}, in: Essays in mathematics and its applications. In honor of Vladimir Arnold. Cham: Springer. 181--197 (2016; Zbl 1402.11102) Full Text: DOI
Chonev, Ventsislav; Ouaknine, Joël; Worrell, James On recurrent reachability for continuous linear dynamical systems. (English) Zbl 1388.68044 Proceedings of the 2016 31st annual ACM/IEEE symposium on logic in computer science, LICS 2016, New York City, NY, USA, July 5–8, 2016. New York, NY: Association for Computing Machinery (ACM) (ISBN 978-1-4503-4391-6). 515-524 (2016). MSC: 68Q05 11U05 34A30 PDFBibTeX XMLCite \textit{V. Chonev} et al., in: Proceedings of the 2016 31st annual ACM/IEEE symposium on logic in computer science, LICS 2016, New York City, NY, USA, July 5--8, 2016. New York, NY: Association for Computing Machinery (ACM). 515--524 (2016; Zbl 1388.68044) Full Text: DOI arXiv
Kristensen, Simon Metric Diophantine approximation – from continued fractions to fractals. (English) Zbl 1416.11129 Steuding, Jörn (ed.), Diophantine analysis. Course notes from a summer school, Würzburg, Germany, July 21–24, 2014. Basel: Birkhäuser/Springer. Trends Math., 61-127 (2016). MSC: 11J83 28A80 11K50 PDFBibTeX XMLCite \textit{S. Kristensen}, in: Diophantine analysis. Course notes from a summer school, Würzburg, Germany, July 21--24, 2014. Basel: Birkhäuser/Springer. 61--127 (2016; Zbl 1416.11129) Full Text: DOI
Bujačić, Sanda; Filipin, Alan Linear forms in logarithms. (English) Zbl 1416.11123 Steuding, Jörn (ed.), Diophantine analysis. Course notes from a summer school, Würzburg, Germany, July 21–24, 2014. Basel: Birkhäuser/Springer. Trends Math., 1-59 (2016). MSC: 11J13 11J81 11J86 PDFBibTeX XMLCite \textit{S. Bujačić} and \textit{A. Filipin}, in: Diophantine analysis. Course notes from a summer school, Würzburg, Germany, July 21--24, 2014. Basel: Birkhäuser/Springer. 1--59 (2016; Zbl 1416.11123) Full Text: DOI
Schroeder, Viktor; Weil, Steffen The aperiodic complexities and connections to dimensions and Diophantine approximation. (English) Zbl 1375.37076 Kolyada, Sergiǐ (ed.) et al., Dynamics and numbers. A special programm: June 1 – July 31, 2014. International conference: July 21–25, 2014, Max-Planck Institute for Mathematics, Bonn, Germany. Proceedings. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-2020-8/pbk; 978-1-4704-3498-4/ebook). Contemporary Mathematics 669, 237-259 (2016). MSC: 37C50 37C45 37D40 11J83 11K60 37B40 PDFBibTeX XMLCite \textit{V. Schroeder} and \textit{S. Weil}, Contemp. Math. 669, 237--259 (2016; Zbl 1375.37076) Full Text: DOI arXiv
Einsiedler, Manfred; Ward, Thomas Homogeneous dynamics: a study guide. (English) Zbl 1364.37007 Cheng, Shiu-Yuen (ed.) et al., Introduction to modern mathematics. Somerville, MA: International Press; Beijing: Higher Education Press (ISBN 978-1-57146-305-0/pbk). Advanced Lectures in Mathematics (ALM) 33, 171-201 (2015). MSC: 37A17 37-02 11J13 11J25 22D40 22E40 37A35 37A45 37D40 PDFBibTeX XMLCite \textit{M. Einsiedler} and \textit{T. Ward}, Adv. Lect. Math. (ALM) 33, 171--201 (2015; Zbl 1364.37007)
Beresnevich, Victor; Velani, Sanju A note on three problems in metric Diophantine approximation. (English) Zbl 1387.11061 Bhattacharya, Siddhartha (ed.) et al., Recent trends in ergodic theory and dynamical systems. International conference in honor of S. G. Dani’s 65th birthday, Vadodara, India, December 26–29, 2012. Proceedings. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-0931-9/pbk; 978-1-4704-2219-6/ebook). Contemporary Mathematics 631, 211-229 (2015). MSC: 11J83 11J13 11K60 PDFBibTeX XMLCite \textit{V. Beresnevich} and \textit{S. Velani}, Contemp. Math. 631, 211--229 (2015; Zbl 1387.11061) Full Text: arXiv
Ghosh, Anish; Gorodnik, Alexander; Nevo, Amos Diophantine approximation exponents on homogeneous varieties. (English) Zbl 1377.11088 Bhattacharya, Siddhartha (ed.) et al., Recent trends in ergodic theory and dynamical systems. International conference in honor of S. G. Dani’s 65th birthday, Vadodara, India, December 26–29, 2012. Proceedings. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-0931-9/pbk; 978-1-4704-2219-6/ebook). Contemporary Mathematics 631, 181-200 (2015). MSC: 11K60 37A17 PDFBibTeX XMLCite \textit{A. Ghosh} et al., Contemp. Math. 631, 181--200 (2015; Zbl 1377.11088) Full Text: arXiv
Bernik, V.; Götze, F. A new connection between metric theory of Diophantine approximations and distribution of algebraic numbers. (English) Zbl 1362.11069 Bhattacharya, Siddhartha (ed.) et al., Recent trends in ergodic theory and dynamical systems. International conference in honor of S. G. Dani’s 65th birthday, Vadodara, India, December 26–29, 2012. Proceedings. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-0931-9/pbk; 978-1-4704-2219-6/ebook). Contemporary Mathematics 631, 33-45 (2015). MSC: 11J83 11J17 11K60 PDFBibTeX XMLCite \textit{V. Bernik} and \textit{F. Götze}, Contemp. Math. 631, 33--45 (2015; Zbl 1362.11069)
Waldschmidt, Michel Lecture on the \(abc\) conjecture and some of its consequences. (English) Zbl 1395.11056 Cartier, Pierre (ed.) et al., Mathematics in the 21st century. Selected papers based on the presentations at the 6th world conference on 21st century mathematics, Lahore, Pakistan, March 6–9, 2013. Basel: Springer (ISBN 978-3-0348-0858-3/hbk; 978-3-0348-0859-0/ebook). Springer Proceedings in Mathematics & Statistics 98, 211-230 (2015). MSC: 11D41 11-02 11J99 PDFBibTeX XMLCite \textit{M. Waldschmidt}, Springer Proc. Math. Stat. 98, 211--230 (2015; Zbl 1395.11056) Full Text: DOI
Canadell, Marta; Haro, Àlex Parameterization method for computing quasi-periodic reducible normally hyperbolic invariant tori. (English) Zbl 1360.37151 Casas, Fernando (ed.) et al., Advances in differential equations and applications. Selected contributions given at the 23rd congress on differential equations and applications, CEDYA/13th congress of applied mathematics, CMA, September 9–13, 2013. Cham: Springer (ISBN 978-3-319-06952-4/hbk; 978-3-319-06953-1/ebook). SEMA SIMAI Springer Series 4, 85-94 (2015). MSC: 37J40 70H08 37M25 PDFBibTeX XMLCite \textit{M. Canadell} and \textit{À. Haro}, SEMA SIMAI Springer Ser. 4, 85--94 (2015; Zbl 1360.37151) Full Text: DOI
Fuchs, Clemens; Zannier, Umberto Integral points on curves: Siegel’s theorem after Siegel’s proof. (English) Zbl 07814824 Zannier, Umberto (ed.), On some applications of Diophantine approximations. (A translation of Carl Ludwig Siegel’s “Über einige Anwendungen diophantischer Approximationen” by Clemens Fuchs). Pisa: Edizioni della Normale. Quad., Sc. Norm. Super. Pisa, Monogr. 2, 139-157 (2014). MSC: 11G30 11Jxx PDFBibTeX XMLCite \textit{C. Fuchs} and \textit{U. Zannier}, Quad., Sc. Norm. Super. Pisa, Monogr. 2, 139--157 (2014; Zbl 07814824) Full Text: DOI
Beck, József Superirregularity. (English) Zbl 1358.11111 Chen, William (ed.) et al., A panorama of discrepancy theory. Cham: Springer (ISBN 978-3-319-04695-2/pbk; 978-3-319-04696-9/ebook). Lecture Notes in Mathematics 2107, 221-316 (2014). MSC: 11N45 11D09 11K60 PDFBibTeX XMLCite \textit{J. Beck}, Lect. Notes Math. 2107, 221--316 (2014; Zbl 1358.11111) Full Text: DOI
Yoccoz, Jean-Christophe Small denominators: number theory in dynamical systems. (Kleine Nenner: Zahlentheorie in dynamischen Systemen.) (German) Zbl 1323.00021 Schleicher, Dierk (ed.) et al., Eine Einladung in die Mathematik. Einblicke in aktuelle Forschung. Heidelberg: Springer Spektrum (ISBN 978-3-642-25797-1/pbk; 978-3-642-25798-8/ebook). 43-55 (2013). MSC: 00A09 70F15 37Pxx 11Jxx PDFBibTeX XMLCite \textit{J.-C. Yoccoz}, in: Eine Einladung in die Mathematik. Einblicke in aktuelle Forschung. Heidelberg: Springer Spektrum. 43--55 (2013; Zbl 1323.00021) Full Text: DOI
Elsenhans, Andreas-Stephan; Jahnel, Jörg Experiments with the transcendental Brauer-Manin obstruction. (English) Zbl 1362.11063 Howe, Everett W. (ed.) et al., ANTS X. Proceedings of the tenth algorithmic number theory symposium, San Diego, CA, USA, July 9–13, 2012. Berkeley, CA: Mathematical Sciences Publishers (MSP) (ISBN 978-1-935107-00-2/hbk; 978-1-935107-01-9/ebook). The Open Book Series 1, 369-394 (2013). MSC: 11G35 11Y50 14H52 14J28 11D41 PDFBibTeX XMLCite \textit{A.-S. Elsenhans} and \textit{J. Jahnel}, Open Book Ser. 1, 369--394 (2013; Zbl 1362.11063) Full Text: arXiv
Bosma, Wieb; Smeets, Ionica Finding simultaneous Diophantine approximations with prescribed quality. (English) Zbl 1344.11050 Howe, Everett W. (ed.) et al., ANTS X. Proceedings of the tenth algorithmic number theory symposium, San Diego, CA, USA, July 9–13, 2012. Berkeley, CA: Mathematical Sciences Publishers (MSP) (ISBN 978-1-935107-00-2/hbk; 978-1-935107-01-9/ebook). The Open Book Series 1, 167-185 (2013). MSC: 11J13 11Y16 11H55 PDFBibTeX XMLCite \textit{W. Bosma} and \textit{I. Smeets}, Open Book Ser. 1, 167--185 (2013; Zbl 1344.11050) Full Text: arXiv
Steuding, Jörn Aspects of analytic number theory: the universality of the Riemann zeta-function. (English) Zbl 1321.30024 Ruscheweyh, S. (ed.) et al., Topics in modern function theory. Based on mini-courses of the CMFT workshop on computational methods and function theory, Guwahati, India, January 3–10, 2008. Mysore: Ramanujan Mathematical Society (ISBN 978-93-80416-12-0/hbk). Ramanujan Mathematical Society Lecture Notes Series 19, 84-165 (2013). Reviewer: Yuri A. Farkov (Moscow) MSC: 30E10 30B50 PDFBibTeX XMLCite \textit{J. Steuding}, Ramanujan Math. Soc. Lect. Notes Ser. 19, 84--165 (2013; Zbl 1321.30024)
Bernik, V.; Beresnevich, V.; Götze, F.; Kukso, O. Distribution of algebraic numbers and metric theory of Diophantine approximation. (English) Zbl 1316.11063 Eichelsbacher, Peter (ed.) et al., Limit theorems in probability, statistics and number theory. In honor of Friedrich Götze on the occasion of his 60th birthday. Selected papers based on the presentations at the workshop, Bielefeld, Germany, August 4–6, 2011. Berlin: Springer (ISBN 978-3-642-36067-1/hbk; 978-3-642-36068-8/ebook). Springer Proceedings in Mathematics & Statistics 42, 23-48 (2013). Reviewer: Simon Kristensen (Aarhus) MSC: 11J83 11J13 11K60 11K55 11-02 PDFBibTeX XMLCite \textit{V. Bernik} et al., Springer Proc. Math. Stat. 42, 23--48 (2013; Zbl 1316.11063) Full Text: DOI
Bugeaud, Yann Hausdorff dimension and Diophantine approximation. (English) Zbl 1268.28008 Barral, Julien (ed.) et al., Further developments in fractals and related fields. Mathematical foundations and connections. Outgrowth of the 2nd international conference on fractals and related fields, Porquerolles Island, France, June 2011. New York, NY: Birkhäuser/Springer (ISBN 978-0-8176-8399-3/hbk; 978-0-8176-8400-6/ebook). Trends in Mathematics, 35-45 (2013). MSC: 28A80 28A75 11J99 PDFBibTeX XMLCite \textit{Y. Bugeaud}, in: Further developments in fractals and related fields. Mathematical foundations and connections. Outgrowth of the 2nd international conference on fractals and related fields, Porquerolles Island, France, June 2011. New York, NY: Birkhäuser/Springer. 35--45 (2013; Zbl 1268.28008) Full Text: DOI
Herold, Gottfried; Meurer, Alexander New attacks for knapsack based cryptosystems. (English) Zbl 1344.94054 Visconti, Ivan (ed.) et al., Security and cryptography for networks. 8th international conference, SCN 2012, Amalfi, Italy, September 5–7, 2012. Proceedings. Berlin: Springer (ISBN 978-3-642-32927-2/pbk). Lecture Notes in Computer Science 7485, 326-342 (2012). MSC: 94A60 PDFBibTeX XMLCite \textit{G. Herold} and \textit{A. Meurer}, Lect. Notes Comput. Sci. 7485, 326--342 (2012; Zbl 1344.94054) Full Text: DOI
Waldschmidt, Michel Recent advances in Diophantine approximation. (English) Zbl 1271.11070 Goldfeld, Dorian (ed.) et al., Number theory, analysis and geometry. In memory of Serge Lang. Berlin: Springer (ISBN 978-1-4614-1259-5/hbk; 978-1-4614-1260-1/ebook). 659-704 (2012). Reviewer: Peter Bundschuh (Köln) MSC: 11Jxx 11J04 11J13 11J82 11J83 PDFBibTeX XMLCite \textit{M. Waldschmidt}, in: Number theory, analysis and geometry. In memory of Serge Lang. Berlin: Springer. 659--704 (2012; Zbl 1271.11070) Full Text: DOI arXiv
Szpiro, L.; Tucker, T. J. Equidistribution and generalized Mahler measures. (English) Zbl 1283.37075 Goldfeld, Dorian (ed.) et al., Number theory, analysis and geometry. In memory of Serge Lang. Berlin: Springer (ISBN 978-1-4614-1259-5/hbk; 978-1-4614-1260-1/ebook). 609-638 (2012). Reviewer: Yu Yasufuku (Tokyo) MSC: 37P30 11J68 PDFBibTeX XMLCite \textit{L. Szpiro} and \textit{T. J. Tucker}, in: Number theory, analysis and geometry. In memory of Serge Lang. Berlin: Springer. 609--638 (2012; Zbl 1283.37075) Full Text: DOI arXiv
Krattenthaler, C.; Rivoal, T. Multivariate \(p\)-adic formal congruences and integrality of Taylor coefficients of mirror maps. (English. French summary) Zbl 1308.11099 Di Vizio, Lucia (ed.) et al., Arithmetic and Galois theories of differential equations. Proceedings of the summer school, ‘Galoisian and arithmetic theory of differential equations’, CIRM, Luminy, France, September 21–25, 2009. Paris: Société Mathématique de France (ISBN 978-2-85629-331-7/pbk). Séminaires et Congrès 23, 241-269 (2011). MSC: 11S80 11J99 14J32 33C70 PDFBibTeX XMLCite \textit{C. Krattenthaler} and \textit{T. Rivoal}, Sémin. Congr. 23, 241--269 (2011; Zbl 1308.11099) Full Text: arXiv
Einsiedler, Manfred Applications of measure rigidity of diagonal actions. (English) Zbl 1246.37019 Bhatia, Rajendra (ed.) et al., Proceedings of the international congress of mathematicians (ICM 2010), Hyderabad, India, August 19–27, 2010. Vol. III: Invited lectures. Hackensack, NJ: World Scientific; New Delhi: Hindustan Book Agency (ISBN 978-981-4324-33-5/hbk; 978-81-85931-08-3/hbk; 978-981-4324-30-4/set; 978-981-4324-35-9/ebook). 1740-1759 (2011). Reviewer: Tomas Persson (Lund) MSC: 37A45 37D40 11J13 11J04 PDFBibTeX XMLCite \textit{M. Einsiedler}, in: Proceedings of the international congress of mathematicians (ICM 2010), Hyderabad, India, August 19--27, 2010. Vol. III: Invited lectures. Hackensack, NJ: World Scientific; New Delhi: Hindustan Book Agency. 1740--1759 (2011; Zbl 1246.37019) Full Text: Link
Lindenstrauss, Elon Equidistribution in homogeneous spaces and number theory. (English) Zbl 1235.37004 Bhatia, Rajendra (ed.) et al., Proceedings of the international congress of mathematicians (ICM 2010), Hyderabad, India, August 19–27, 2010. Vol. I: Plenary lectures and ceremonies. Hackensack, NJ: World Scientific; New Delhi: Hindustan Book Agency (ISBN 978-981-4324-30-4/set; 978-81-85931-08-3/hbk; 978-981-4324-31-1/hbk; 978-981-4324-35-9/ebook). 531-557 (2011). Reviewer: Thomas B. Ward (Norwich) MSC: 37A17 37A45 11J13 11B30 11J71 PDFBibTeX XMLCite \textit{E. Lindenstrauss}, in: Proceedings of the international congress of mathematicians (ICM 2010), Hyderabad, India, August 19--27, 2010. Vol. I: Plenary lectures and ceremonies. Hackensack, NJ: World Scientific; New Delhi: Hindustan Book Agency. 531--557 (2011; Zbl 1235.37004) Full Text: Link
Vojta, P. Diophantine approximation and Nevanlinna theory. (English) Zbl 1258.11076 Corvaja, Pietro (ed.) et al., Arithmetic geometry. Lectures given at the C.I.M.E summer school, Cetraro, Italy, September 10–15, 2007. Berlin: Springer (ISBN 978-3-642-15944-2/pbk; 978-3-642-15945-9/ebook). Lecture Notes in Mathematics 2009, 111-224 (2011). Reviewer: Pietro Corvaja (Udine) MSC: 11J97 11-02 11J87 14G05 14G40 PDFBibTeX XMLCite \textit{P. Vojta}, Lect. Notes Math. 2009, 111--224 (2011; Zbl 1258.11076) Full Text: DOI
Sin, Peter; Thompson, John G. The divisor matrix, Dirichlet series, and \(\mathrm{SL}(2,\mathbb{Z})\). (English) Zbl 1322.11099 Alladi, Krishnaswami (ed.) et al., The legacy of Alladi Ramakrishnan in the mathematical sciences. New York, NY: Springer (ISBN 978-1-4419-6262-1/hbk; 978-1-4419-6263-8/ebook). 299-327 (2010). MSC: 11M41 11M06 11K60 20G35 PDFBibTeX XMLCite \textit{P. Sin} and \textit{J. G. Thompson}, in: The legacy of Alladi Ramakrishnan in the mathematical sciences. New York, NY: Springer. 299--327 (2010; Zbl 1322.11099) Full Text: DOI arXiv
Naito, Koichiro Entropy and recurrent dimensions of discrete orbits given by almost periodic sequences. (English) Zbl 1221.37025 Akashi, Shigeo (ed.) et al., Proceedings of the sixth international conference on nonlinear analysis and convex analysis (NACA 2009), Tokyo, Japan, March 27–31, 2009. In celebration of the retirement of Professor Wataru Takahashi. Yokohama: Yokohama Publishers (ISBN 978-4-946552-41-0/hbk). 205-221 (2010). MSC: 37B10 11B37 37B40 11A55 11K60 PDFBibTeX XMLCite \textit{K. Naito}, in: Proceedings of the sixth international conference on nonlinear analysis and convex analysis (NACA 2009), Tokyo, Japan, March 27--31, 2009. In celebration of the retirement of Professor Wataru Takahashi. Yokohama: Yokohama Publishers. 205--221 (2010; Zbl 1221.37025)
Kleinbock, Dmitry Quantitative nondivergence and its Diophantine applications. (English) Zbl 1222.37006 Einsiedler, Manfred Leopold (ed.) et al., Homogeneous flows, moduli spaces and arithmetic. Proceedings of the Clay Mathematics Institute summer school, Centro di Recerca Mathematica Ennio De Giorgi, Pisa, Italy, June 11–July 6, 2007. Providence, RI: American Mathematical Society (AMS); Cambridge, MA: Clay Mathematics Institute (ISBN 978-0-8218-4742-8/pbk). Clay Mathematics Proceedings 10, 131-153 (2010). Reviewer: Alexander Kachurovskij (Novosibirsk) MSC: 37A17 11J13 PDFBibTeX XMLCite \textit{D. Kleinbock}, Clay Math. Proc. 10, 131--153 (2010; Zbl 1222.37006)
Nechayeva, Marina; Randol, Burton Asymptotics of weighted lattice point counts inside dilating polygons. (English) Zbl 1275.11132 Chudnovsky, David (ed.) et al., Additive number theory. Festschrift in honor of the sixtieth birthday of Melvyn B. Nathanson. New York, NY: Springer (ISBN 978-0-387-37029-3/hbk; 978-0-387-68361-4/ebook). 287-301 (2010). MSC: 11P21 11K60 PDFBibTeX XMLCite \textit{M. Nechayeva} and \textit{B. Randol}, in: Additive number theory. Festschrift in honor of the sixtieth birthday of Melvyn B. Nathanson. New York, NY: Springer. 287--301 (2010; Zbl 1275.11132) Full Text: DOI arXiv
Nagata, Makoto On Siegel’s lemma and linear spaces of random variables. (English) Zbl 1198.11031 Komatsu, Takao (ed.), Diophantine analysis and related fields 2010. DARF–2010. Proceedings of the conference, Musashino, Tokyo, Japan, March 4–5, 2010. Melville, NY: American Institute of Physics (AIP) (ISBN 978-0-7354-0815-9). AIP Conference Proceedings 1264, 62-70 (2010). Reviewer: Roland Quême (Brax) MSC: 11D04 11J13 11J86 PDFBibTeX XMLCite \textit{M. Nagata}, AIP Conf. Proc. 1264, 62--70 (2010; Zbl 1198.11031) Full Text: DOI
Dubickas, Artūras Distribution of some sequences modulo 1. (English) Zbl 1245.11087 Adhikari, Sukumar Das (ed.) et al., Number theory and applications. Proceedings of the international conferences on number theory and cryptography, Allahabad, India, December 2006 and February 2007. New Delhi: Hindustan Book Agency (ISBN 978-81-85931-97-5/hbk). 33-41 (2009). Reviewer: Oto Strauch (Bratislava) MSC: 11K31 11K06 11K60 11J71 11B05 PDFBibTeX XMLCite \textit{A. Dubickas}, in: Number theory and applications. Proceedings of the international conferences on number theory and cryptography, Allahabad, India, December 2006 and February 2007. New Delhi: Hindustan Book Agency. 33--41 (2009; Zbl 1245.11087)
Troubetzkoy, Serge Approximation and billiards. (English) Zbl 1226.37020 Bugeaud, Yann (ed.) et al., Dynamical systems and Diophantine approximation. Paris: Société Mathématique de France (ISBN 978-2-85629-303-4/pbk). Séminaires et Congrès 19, 173-185 (2009). MSC: 37D50 11J25 37A25 PDFBibTeX XMLCite \textit{S. Troubetzkoy}, Sémin. Congr. 19, 173--185 (2009; Zbl 1226.37020) Full Text: arXiv
Broise-Alamichel, Anne On the characteristic exponents of the Jacobi-Perron algorithm. (English) Zbl 1303.11077 Bugeaud, Yann (ed.) et al., Dynamical systems and Diophantine approximation. Paris: Société Mathématique de France (ISBN 978-2-85629-303-4/pbk). Séminaires et Congrès 19, 151-171 (2009). MSC: 11J70 11K55 11J13 PDFBibTeX XMLCite \textit{A. Broise-Alamichel}, Sémin. Congr. 19, 151--171 (2009; Zbl 1303.11077)
Queffélec, Martine An introduction to Littlewood’s conjecture. (English) Zbl 1303.11075 Bugeaud, Yann (ed.) et al., Dynamical systems and Diophantine approximation. Paris: Société Mathématique de France (ISBN 978-2-85629-303-4/pbk). Séminaires et Congrès 19, 127-150 (2009). MSC: 11J25 11J13 11J70 11J83 68R15 PDFBibTeX XMLCite \textit{M. Queffélec}, Sémin. Congr. 19, 127--150 (2009; Zbl 1303.11075)
Bugeaud, Yann Multiplicative Diophantine approximation. (English) Zbl 1266.11083 Bugeaud, Yann (ed.) et al., Dynamical systems and Diophantine approximation. Paris: Société Mathématique de France (ISBN 978-2-85629-303-4/pbk). Séminaires et Congrès 19, 105-125 (2009). Reviewer: Anish Ghosh (Norwich) MSC: 11J13 11J83 11K60 11-02 PDFBibTeX XMLCite \textit{Y. Bugeaud}, Sémin. Congr. 19, 105--125 (2009; Zbl 1266.11083)
Maucourant, François Arithmetical and geometrical aspects of homogeneous Diophantine approximation by algebraic numbers in a given number field. (English) Zbl 1231.11072 Bugeaud, Yann (ed.) et al., Dynamical systems and Diophantine approximation. Paris: Société Mathématique de France (ISBN 978-2-85629-303-4/pbk). Séminaires et Congrès 19, 37-48 (2009). Reviewer: Roland Quême (Brax) MSC: 11J06 11J17 37A17 PDFBibTeX XMLCite \textit{F. Maucourant}, Sémin. Congr. 19, 37--48 (2009; Zbl 1231.11072)
Beresnevich, Victor; Velani, Sanju Ubiquity and a general logarithm law for geodesics. (English) Zbl 1230.11089 Bugeaud, Yann (ed.) et al., Dynamical systems and Diophantine approximation. Paris: Société Mathématique de France (ISBN 978-2-85629-303-4/pbk). Séminaires et Congrès 19, 21-36 (2009). Reviewer: Simon Kristensen (Aarhus) MSC: 11J83 11K60 28A80 30F40 PDFBibTeX XMLCite \textit{V. Beresnevich} and \textit{S. Velani}, Sémin. Congr. 19, 21--36 (2009; Zbl 1230.11089) Full Text: arXiv
Dodson, M. M. Diophantine approximation, Khintchine’s theorem, torus geometry and Hausdorff dimension. (English) Zbl 1235.11072 Bugeaud, Yann (ed.) et al., Dynamical systems and Diophantine approximation. Paris: Société Mathématique de France (ISBN 978-2-85629-303-4/pbk). Séminaires et Congrès 19, 1-20 (2009). Reviewer: Simon Kristensen (Aarhus) MSC: 11J83 11K60 28A78 11-02 PDFBibTeX XMLCite \textit{M. M. Dodson}, Sémin. Congr. 19, 1--20 (2009; Zbl 1235.11072) Full Text: arXiv
Noguchi, Junjiro Value distribution and distribution of rational points. (English) Zbl 1183.11039 Kotani, Motoko (ed.) et al., Spectral analysis in geometry and number theory. International conference on the occasion of Toshikazu Sunada’s 60th birthday, August 6–10, 2007. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4269-0/pbk). Contemporary Mathematics 484, 165-176 (2009). MSC: 11J97 32H30 32Q45 PDFBibTeX XMLCite \textit{J. Noguchi}, Contemp. Math. 484, 165--176 (2009; Zbl 1183.11039)
Waldschmidt, Michel Words and transcendence. (English) Zbl 1195.11095 Chen, W. W. L. (ed.) et al., Analytic number theory. Essays in honour of Klaus Roth on the occasion of his 80th birthday. Cambridge: Cambridge University Press (ISBN 978-0-521-51538-2/hbk). 449-470 (2009). Reviewer: Jean-Paul Allouche (Orsay) MSC: 11J81 11J82 11J87 11B85 68R15 PDFBibTeX XMLCite \textit{M. Waldschmidt}, in: Analytic number theory. Essays in honour of Klaus Roth on the occasion of his 80th birthday. Cambridge: Cambridge University Press. 449--470 (2009; Zbl 1195.11095) Full Text: arXiv
de Mathan, Bernard Linear forms in logarithms, and simultaneous Diophantine approximation. (English) Zbl 1195.11086 Chen, W. W. L. (ed.) et al., Analytic number theory. Essays in honour of Klaus Roth on the occasion of his 80th birthday. Cambridge: Cambridge University Press (ISBN 978-0-521-51538-2/hbk). 334-346 (2009). Reviewer: Roland Quême (Brax) MSC: 11J13 11J86 11J68 PDFBibTeX XMLCite \textit{B. de Mathan}, in: Analytic number theory. Essays in honour of Klaus Roth on the occasion of his 80th birthday. Cambridge: Cambridge University Press. 334--346 (2009; Zbl 1195.11086)
Lasjaunias, A. Diophantine approximation and continued fractions in power series fields. (English) Zbl 1231.11074 Chen, W. W. L. (ed.) et al., Analytic number theory. Essays in honour of Klaus Roth on the occasion of his 80th birthday. Cambridge: Cambridge University Press (ISBN 978-0-521-51538-2/hbk). 297-305 (2009). Reviewer: Jonas Šiaulys (Vilnius) MSC: 11J61 11J70 PDFBibTeX XMLCite \textit{A. Lasjaunias}, in: Analytic number theory. Essays in honour of Klaus Roth on the occasion of his 80th birthday. Cambridge: Cambridge University Press. 297--305 (2009; Zbl 1231.11074)
Beresnevich, Victor; Bernik, Vasily; Dodson, Maurice; Velani, Sanju Classical metric Diophantine approximation revisited. (English) Zbl 1236.11064 Chen, W. W. L. (ed.) et al., Analytic number theory. Essays in honour of Klaus Roth on the occasion of his 80th birthday. Cambridge: Cambridge University Press (ISBN 978-0-521-51538-2/hbk). 38-61 (2009). Reviewer: Enrico Zoli (Firenze) MSC: 11J83 11K60 PDFBibTeX XMLCite \textit{V. Beresnevich} et al., in: Analytic number theory. Essays in honour of Klaus Roth on the occasion of his 80th birthday. Cambridge: Cambridge University Press. 38--61 (2009; Zbl 1236.11064) Full Text: arXiv
Waldschmidt, Michel Elliptic functions and transcendence. (English) Zbl 1210.11084 Alladi, Krishnaswami (ed.), Surveys in number theory. New York, NY: Springer (ISBN 978-0-387-78509-7/hbk). Developments in Mathematics 17, 1-46 (2008). MSC: 11J89 11-02 11J82 PDFBibTeX XMLCite \textit{M. Waldschmidt}, Dev. Math. 17, 1--46 (2008; Zbl 1210.11084) Full Text: DOI
Henk, Martin; Wills, Jörg M. Minkowski’s successive minima. (English) Zbl 1234.11085 Balasubramanian, R. (ed.) et al., Number theory and discrete geometry. Proceedings of the international conference in honour of Professor R. P. Bambah, Chandigarh, India, November 30–December 3, 2005. Mysore: Ramanujan Mathematical Society (ISBN 978-81-902545-6-4/hbk). Ramanujan Mathematical Society Lecture Notes Series 6, 129-142 (2008). Reviewer: Iskander Aliev (Cardiff) MSC: 11H50 11H06 52C07 11J13 PDFBibTeX XMLCite \textit{M. Henk} and \textit{J. M. Wills}, Ramanujan Math. Soc. Lect. Notes Ser. 6, 129--142 (2008; Zbl 1234.11085)
Wong, Erick B. Simultaneous approximation of reals by values of arithmetic functions. (English) Zbl 1178.11064 De Koninck, Jean-Marie (ed.) et al., Anatomy of integers. Based on the CRM workshop, Montreal, Canada, March 13–17, 2006. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4406-9/pbk). CRM Proceedings and Lecture Notes 46, 289-297 (2008). Reviewer: Florin Nicolae (Berlin) MSC: 11N64 11K60 PDFBibTeX XMLCite \textit{E. B. Wong}, in: Anatomy of integers. Based on the CRM workshop, Montreal, Canada, March 13--17, 2006. Providence, RI: American Mathematical Society (AMS). 289--297 (2008; Zbl 1178.11064)
Xu, Zhiqiang An explicit formulation for two-dimensional vector partition functions. (English) Zbl 1160.41005 Beck, Matthias (ed.) et al., Integer points in polyhedra—geometry, number theory, algebra, optimization, statistics. Proceedings of the AMS-IMS-SIAM joint summer research conference, Snowbird, UT, USA, June 11–15, 2006. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4173-0/pbk). Contemporary Mathematics 452, 163-178 (2008). Reviewer: H. P. Dikshit (Bhopal) MSC: 41A15 05A17 11D04 PDFBibTeX XMLCite \textit{Z. Xu}, Contemp. Math. 452, 163--178 (2008; Zbl 1160.41005) Full Text: arXiv
Bilu, Yuri F. The many faces of the subspace theorem [after Adamczewski, Bugeaud, Corvaja, Zannier \(\ldots\)]. (English) Zbl 1220.11091 Séminaire Bourbaki. Volume 2006/2007. Exposés 967–981. Paris: Société Mathématique de France (ISBN 978-2-85629-253-2/pbk). Astérisque 317, 1-38, Exp. No. 967 (2008). Reviewer: Jan-Hendrik Evertse (Leiden) MSC: 11J87 11-02 11J68 11J81 11D61 11G30 11G35 PDFBibTeX XMLCite \textit{Y. F. Bilu}, Astérisque 317, 1--38, Exp. No. 967 (2008; Zbl 1220.11091) Full Text: arXiv Link
Evertse, Jan-Hendrik; Ferretti, Roberto G. A generalization of the subspace theorem with polynomial of higher degree. (English) Zbl 1153.11032 Schlickewei, Hans Peter et al., Diophantine approximation. Festschrift for Wolfgang Schmidt. Based on lectures given at a conference at the Erwin Schrödinger Institute, Vienna, Austria, 2003. Wien: Springer (ISBN 978-3-211-74279-2/hbk). Developments in Mathematics 16, 175-198 (2008). Reviewer: Michel Waldschmidt (Paris) MSC: 11J68 11J25 PDFBibTeX XMLCite \textit{J.-H. Evertse} and \textit{R. G. Ferretti}, Dev. Math. 16, 175--198 (2008; Zbl 1153.11032) Full Text: arXiv
Corvaja, Pietro; Zannier, Umberto Applications of the subspace theorem to certain Diophantine problems. A survey of some recent results. (English) Zbl 1245.11086 Schlickewei, Hans Peter (ed.) et al., Diophantine approximation. Festschrift for Wolfgang Schmidt. Based on lectures given at a conference at the Erwin Schrödinger Institute, Vienna, Austria, 2003. Wien: Springer (ISBN 978-3-211-74279-2/hbk). Developments in Mathematics 16, 161-174 (2008). Reviewer: Günter Lettl (Graz) MSC: 11J87 11G35 PDFBibTeX XMLCite \textit{P. Corvaja} and \textit{U. Zannier}, Dev. Math. 16, 161--174 (2008; Zbl 1245.11086) Full Text: DOI
Bugeaud, Yann Mahler’s classification of numbers compared with Koksma’s. II. (English) Zbl 1214.11082 Schlickewei, Hans Peter (ed.) et al., Diophantine approximation. Festschrift for Wolfgang Schmidt. Based on lectures given at a conference at the Erwin Schrödinger Institute, Vienna, Austria, 2003. Wien: Springer (ISBN 978-3-211-74279-2/hbk). Developments in Mathematics 16, 107-121 (2008). Reviewer: Maurice Mignotte (Strasbourg) MSC: 11J04 PDFBibTeX XMLCite \textit{Y. Bugeaud}, Dev. Math. 16, 107--121 (2008; Zbl 1214.11082)
van der Kamp, Peter H. Towards global classifications: a Diophantine approach. (English) Zbl 1152.37029 Gaeta, Giuseppe (ed.) et al., Symmetry and perturbation theory. Proceedings of the 6th international conference, SPT 2007, Otranto, Italy, June 2–9, 2007. Hackensack, NJ: World Scientific (ISBN 978-981-277-616-7/hbk). 278-279 (2008). Reviewer: Dimitar A. Kolev (Sofia) MSC: 37K10 37K20 11J99 17B80 PDFBibTeX XMLCite \textit{P. H. van der Kamp}, in: Symmetry and perturbation theory. Proceedings of the 6th international conference, SPT 2007, Otranto, Italy, June 2--9, 2007. Hackensack, NJ: World Scientific. 278--279 (2008; Zbl 1152.37029)
Fujita, Yasutsugu Diophantine quadruples containing some triples and the number of Diophantine quintuples. (English) Zbl 1141.11015 Komatsu, Takao (ed.), Diophantine analysis and related fields, DARF 2007/2008. Proceedings of the conferences, Yokohama, Japan, March 7–9, 2007 and Kyoto, Japan, March 5–7, 2008. Melville, NY: American Institute of Physics (AIP) (ISBN 978-0-7354-0495-3). AIP Conference Proceedings 976, 90-95 (2008). MSC: 11D09 11J68 11J86 PDFBibTeX XMLCite \textit{Y. Fujita}, AIP Conf. Proc. 976, 90--95 (2008; Zbl 1141.11015) Full Text: DOI
Bumby, Richard T.; Flahive, Mary E. The divided cell algorithm and the inhomogeneous Lagrange and Markoff spectra. (English) Zbl 1151.11034 Komatsu, Takao (ed.), Diophantine analysis and related fields, DARF 2007/2008. Proceedings of the conferences, Yokohama, Japan, March 7–9, 2007 and Kyoto, Japan, March 5–7, 2008. Melville, NY: American Institute of Physics (AIP) (ISBN 978-0-7354-0495-3). AIP Conference Proceedings 976, 43-57 (2008). Reviewer: Thomas Schmidt (Corvallis) MSC: 11J70 11J06 11H16 PDFBibTeX XMLCite \textit{R. T. Bumby} and \textit{M. E. Flahive}, AIP Conf. Proc. 976, 43--57 (2008; Zbl 1151.11034) Full Text: DOI arXiv
Bumby, Richard T.; Flahive, Mary E. Inhomogeneous Diophantine approximation of some Hurwitzian numbers. (English) Zbl 1151.11033 Komatsu, Takao (ed.), Diophantine analysis and related fields, DARF 2007/2008. Proceedings of the conferences, Yokohama, Japan, March 7–9, 2007 and Kyoto, Japan, March 5–7, 2008. Melville, NY: American Institute of Physics (AIP) (ISBN 978-0-7354-0495-3). AIP Conference Proceedings 976, 31-42 (2008). Reviewer: Thomas Schmidt (Corvallis) MSC: 11J70 11J06 11H50 PDFBibTeX XMLCite \textit{R. T. Bumby} and \textit{M. E. Flahive}, AIP Conf. Proc. 976, 31--42 (2008; Zbl 1151.11033) Full Text: DOI arXiv
Ohkubo, Yukio The diaphony of a class of infinite sequences. (English) Zbl 1209.11074 Akiyama, Shigeki (ed.) et al., Probability and number theory – Kanazawa 2005. Proceedings of the international conference on probability and number theory, Kanazawa, Japan, June 20–24, 2005. Tokyo: Mathematical Society of Japan (ISBN 978-4-931469-43-3/hbk). Advanced Studies in Pure Mathematics 49, 307-322 (2007). Reviewer: Volker Ziegler (Graz) MSC: 11K38 11J71 11K31 11K45 11K60 PDFBibTeX XMLCite \textit{Y. Ohkubo}, Adv. Stud. Pure Math. 49, 307--322 (2007; Zbl 1209.11074)
Kovalevskaya, E. Diophantine approximation in \(\mathbb C\times\mathbb Q_p\). (English) Zbl 1205.11086 Laurinčikas, A. (ed.) et al., Analytic and probabilistic methods in number theory. Proceedings of the 4th international conference in honour of J. Kubilius, Palanga, Lithuania, September 25–29, 2006. Vilnius: TEV (ISBN 978-9955-680-81-9/hbk). 56-71 (2007). Reviewer: Simon Kristensen (Aarhus) MSC: 11J83 11J61 PDFBibTeX XMLCite \textit{E. Kovalevskaya}, in: Analytic and probabilistic methods in number theory. Proceedings of the 4th international conference in honour of J. Kubilius, Palanga, Lithuania, September 25--29, 2006. Vilnius: TEV. 56--71 (2007; Zbl 1205.11086)
Budarina, N.; Dickinson, D. Simultaneous Diophantine approximation on surfaces defined by polynomial expressions \(x^d_1+\dots+x^d_m\). (English) Zbl 1157.11032 Laurinčikas, A. (ed.) et al., Analytic and probabilistic methods in number theory. Proceedings of the 4th international conference in honour of J. Kubilius, Palanga, Lithuania, September 25–29, 2006. Vilnius: TEV (ISBN 978-9955-680-81-9/hbk). 17-23 (2007). Reviewer: Simon Kristensen (Aarhus) MSC: 11J83 11J13 PDFBibTeX XMLCite \textit{N. Budarina} and \textit{D. Dickinson}, in: Analytic and probabilistic methods in number theory. Proceedings of the 4th international conference in honour of J. Kubilius, Palanga, Lithuania, September 25--29, 2006. Vilnius: TEV. 17--23 (2007; Zbl 1157.11032)
Bugeaud, Yann; Laurent, Michel Exponents of diophantine approximation. (English) Zbl 1229.11098 Zannier, Umberto (ed.), Diophantine geometry. Selected papers of a the workshop, Pisa, Italy, April 12–July 22, 2005. Pisa: Edizioni della Normale (ISBN 978-88-7642-206-5/pbk). Centro di Ricerca Matematica Ennio De Giorgi (CRM) Series (Nuova Serie) 4, 101-121 (2007). Reviewer: Enrico Zoli (Firenze) MSC: 11J04 11J13 PDFBibTeX XMLCite \textit{Y. Bugeaud} and \textit{M. Laurent}, CRM Ser. (N.S.) 4, 101--121 (2007; Zbl 1229.11098) Full Text: arXiv
Ru, Min The Second Main Theorem with hypersurfaces over function fields. (English) Zbl 1138.11024 Chen, Zhijie (ed.) et al., Proceedings of the international conference on complex geometry and related fields, Shanghai, China, 2004. Providence, RI: American Mathematical Society (AMS); Somerville, MA: International Press (ISBN 978-0-8218-3949-2/pbk). AMS/IP Studies in Advanced Mathematics 39, 251-261 (2007). Reviewer: Michel Waldschmidt (Paris) MSC: 11J13 11J25 32H30 PDFBibTeX XMLCite \textit{M. Ru}, AMS/IP Stud. Adv. Math. 39, 251--261 (2007; Zbl 1138.11024)
Moshchevitin, Nikolai G. Best Diophantine approximations: the phenomenon of degenerate dimension. (English) Zbl 1151.11031 Young, Nicholas (ed.), Surveys in geometry and number theory. Reports on contemporary Russian mathematics. Cambridge: Cambridge University Press (ISBN 978-0-521-69182-6/pbk). London Mathematical Society Lecture Note Series 338, 158-182 (2007). Reviewer: Pietro Corvaja (Udine) MSC: 11J13 11J25 11J83 PDFBibTeX XMLCite \textit{N. G. Moshchevitin}, Lond. Math. Soc. Lect. Note Ser. 338, 158--182 (2007; Zbl 1151.11031) Full Text: arXiv
Naito, Koichiro Recurrent dimensions of quasi-periodic attractors for second order evolution equations. (English) Zbl 1112.37020 Takahashi, Wataru (ed.) et al., Nonlinear analysis and convex analysis. Proceedings of the 4th international conference (NACA 2005), Okinawa, Japan, June 30–July 4, 2005. Yokohama: Yokohama Publishers (ISBN 978-4-946552-27-4/hbk). 427-437 (2007). MSC: 37C45 11K60 28A80 37C55 37A45 37L05 PDFBibTeX XMLCite \textit{K. Naito}, in: Nonlinear analysis and convex analysis. Proceedings of the 4th international conference (NACA 2005), Okinawa, Japan, June 30--July 4, 2005. Yokohama: Yokohama Publishers. 427--437 (2007; Zbl 1112.37020)
Barajas, J.; Serra, O. The lonely runner problem with seven runners. (English) Zbl 1201.05033 Martínez Moro, Edgar (ed.), V jornadas de matemática discreta y algorítmica. Valladolid: Universidade de Valladolid, Secretariado de Publicaciones e Intercambio Editorial (ISBN 978-84-8448-380-9/pbk). Ciencias (Valladolid) 23, 111-116 (2006). MSC: 05C15 52A40 11J99 11B75 PDFBibTeX XMLCite \textit{J. Barajas} and \textit{O. Serra}, in: V jornadas de matemática discreta y algorítmica. Valladolid: Universidade de Valladolid, Secretariado de Publicaciones e Intercambio Editorial. 111--116 (2006; Zbl 1201.05033) Full Text: arXiv
Menken, Hamza; Mamedov, Khanlar R. Point on curves whose coordinates are \(p\)-adic \(U\)-numbers. (English) Zbl 1152.11032 Khrennikov, Andrei Yu (ed.) et al., \(p\)-adic mathematical physics. 2nd international conference, Belgrade, Serbia and Montenegro, 15–21 September 2005. Melville, NY: American Institute of Physics (AIP) (ISBN 0-7354-0318-X/hbk). AIP Conference Proceedings 826, 267-273 (2006). Reviewer: Olaf Ninnemann (Berlin) MSC: 11J61 11K60 PDFBibTeX XMLCite \textit{H. Menken} and \textit{K. R. Mamedov}, AIP Conf. Proc. 826, 267--273 (2006; Zbl 1152.11032) Full Text: DOI
Luca, Florian; Shparlinski, Igor E. Approximating positive reals by ratios of kernels of consecutive integers. (English) Zbl 1173.11047 Katsurada, Masanori (ed.) et al., Diophantine analysis and related fields 2006. In honor of Iekata Shiokawa. Proceedings of the conference, Keio University, Yokohama, Japan, March 7–10, 2006. Yokohama: Keio University, Department of Mathematics. Seminar on Mathematical Sciences 35, 141-149 (2006). Reviewer: Tatiana Hessami Pilehrood (Shahrekord) MSC: 11K60 11N64 11K31 11J13 PDFBibTeX XMLCite \textit{F. Luca} and \textit{I. E. Shparlinski}, Semin. Math. Sci. 35, 141--149 (2006; Zbl 1173.11047)
Jochemsz, Ellen; de Weger, Benne A partial key exposure attack on RSA using a 2-dimensional lattice. (English) Zbl 1156.94355 Katsikas, Sokratis K. (ed.) et al., Information security. 9th international conference, ISC 2006, Samos Island, Greece, August 30–September 2, 2006. Proceedings. Berlin: Springer (ISBN 978-3-540-38341-3/pbk). Lecture Notes in Computer Science 4176, 203-216 (2006). MSC: 94A60 PDFBibTeX XMLCite \textit{E. Jochemsz} and \textit{B. de Weger}, Lect. Notes Comput. Sci. 4176, 203--216 (2006; Zbl 1156.94355) Full Text: DOI
Colliot-Thélène, Jean-Louis Central simple algebras over function fields in two variables (after A. J. de Jong). (Algèbres simples centrales sur les corps de fonctions de deux variables [d’après A. J. de Jong].) (French) Zbl 1123.14012 Séminaire Bourbaki. Volume 2004/2005. Exposés 938–951. Paris: Société Mathématique de France (ISBN 978-2-85629-224-2/pbk). Astérisque 307, 379-413, Exp. No. 949 (2006). Reviewer: Stefan Schröer (Düsseldorf) MSC: 14F22 11R58 14F05 16K50 14B12 14G99 PDFBibTeX XMLCite \textit{J.-L. Colliot-Thélène}, Astérisque 307, 379--413, Exp. No. 949 (2006; Zbl 1123.14012)
Bergelson, Vitaly [Leibman, A.; Quas, Anthony; Wierdl, Máté] Combinatorial and Diophantine applications of ergodic theory. (With Appendix A by A. Leibman, with Appendix B by Anthony Quas and Máté Wierdl). (English) Zbl 1130.37317 Hasselblatt, B.(ed.) et al., Handbook of dynamical systems. Volume 1B. Amsterdam: Elsevier (ISBN 0-444-52055-4/hbk). 745-869 (2006). MSC: 37A45 11K60 28D05 05D10 05D40 PDFBibTeX XMLCite \textit{V. Bergelson}, in: Handbook of dynamical systems. Volume 1B. Amsterdam: Elsevier. 745--869 (2006; Zbl 1130.37317)
Bost, Jean-Benoît Evaluation maps, slopes, and algebraicity criteria. (English) Zbl 1141.14011 Sanz-Solé, Marta (ed.) et al., Proceedings of the international congress of mathematicians (ICM), Madrid, Spain, August 22–30, 2006. Volume II: Invited lectures. Zürich: European Mathematical Society (EMS) (ISBN 978-3-03719-022-7/hbk). 537-562 (2006). Reviewer: Masato Kuwata (Tokyo) MSC: 14G40 11G35 11Jxx 14B20 14F30 14L15 37F75 PDFBibTeX XMLCite \textit{J.-B. Bost}, in: Proceedings of the international congress of mathematicians (ICM), Madrid, Spain, August 22--30, 2006. Volume II: Invited lectures. Zürich: European Mathematical Society (EMS). 537--562 (2006; Zbl 1141.14011)