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Found 315 Documents (Results 1–100)

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
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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).
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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).
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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).
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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
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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
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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
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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
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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).
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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
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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
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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).
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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).
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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).
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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).
MSC:  11D59 11J68 11J86
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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).
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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
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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
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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).
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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).
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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).
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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).
MSC:  11J83 11K60 11-02 37A17 37A45 11J13 11J99
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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).
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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
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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).
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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).
MSC:  37-02 37A45 11J06 11K60
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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).
MSC:  11J83 28A78
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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).
MSC:  37-02 37A45 37A17 11K16 11P21 11J99
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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
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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
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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
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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
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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).
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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).
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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
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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
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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
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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
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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
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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
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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).
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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).
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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
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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).
MSC:  30E10 30B50
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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).
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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
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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
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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).
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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).
MSC:  37P30 11J68
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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).
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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).
MSC:  37A45 37D40 11J13 11J04
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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).
MSC:  37A17 37A45 11J13 11B30 11J71
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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).
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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).
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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).
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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).
MSC:  37A17 11J13
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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
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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).
MSC:  11D04 11J13 11J86
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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).
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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).
MSC:  11J06 11J17 37A17
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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).
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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
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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).
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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).
MSC:  11J13 11J86 11J68
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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).
MSC:  11J61 11J70
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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).
MSC:  11J83 11K60
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Full Text: arXiv

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).
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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).
MSC:  11N64 11K60
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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).
MSC:  41A15 05A17 11D04
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Full Text: arXiv

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).
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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).
MSC:  11J68 11J25
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Full Text: arXiv

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).
MSC:  11J87 11G35
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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).
MSC:  11J04
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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).
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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
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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).
MSC:  11J70 11J06 11H16
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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).
MSC:  11J70 11J06 11H50
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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).
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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).
MSC:  11J83 11J61
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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).
MSC:  11J83 11J13
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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).
MSC:  11J04 11J13
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Full Text: arXiv

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).
MSC:  11J13 11J25 32H30
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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).
MSC:  11J13 11J25 11J83
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Full Text: arXiv

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
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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).
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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).
MSC:  11J61 11K60
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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).
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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
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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).
MSC:  14F22 11R58 14F05 16K50 14B12 14G99
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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
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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).
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