Gargava, Nihar Prakash Lattice packings through division algebras. (English) Zbl 1509.11062 Math. Z. 303, No. 1, Paper No. 18, 32 p. (2023). Reviewer: Steven T. Dougherty (Scranton) MSC: 11H31 52C17 05B40 11H06 PDFBibTeX XMLCite \textit{N. P. Gargava}, Math. Z. 303, No. 1, Paper No. 18, 32 p. (2023; Zbl 1509.11062) Full Text: DOI arXiv
Wang, Tian; Ren, Zhihua A Siegel theorem for periodic difference systems. (English) Zbl 1481.39020 J. Difference Equ. Appl. 27, No. 5, 698-711 (2021). MSC: 39A45 37C05 37G05 PDFBibTeX XMLCite \textit{T. Wang} and \textit{Z. Ren}, J. Difference Equ. Appl. 27, No. 5, 698--711 (2021; Zbl 1481.39020) 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
Hwang, WonTae; Song, Kyunghwan On the integer part of the reciprocal of the Riemann zeta function tail at certain rational numbers in the critical strip. (English) Zbl 1499.11266 J. Inequal. Appl. 2019, Paper No. 270, 12 p. (2019). MSC: 11M06 11B83 11G30 PDFBibTeX XMLCite \textit{W. Hwang} and \textit{K. Song}, J. Inequal. Appl. 2019, Paper No. 270, 12 p. (2019; Zbl 1499.11266) Full Text: DOI arXiv
Gaudron, Éric; Rémond, Gaël Siegel fields. (Corps de Siegel.) (French. English summary) Zbl 1385.11046 J. Reine Angew. Math. 726, 187-247 (2017). Reviewer: Michel Waldschmidt (Paris) MSC: 11H06 52C07 11G50 11R56 PDFBibTeX XMLCite \textit{É. Gaudron} and \textit{G. Rémond}, J. Reine Angew. Math. 726, 187--247 (2017; Zbl 1385.11046) Full Text: DOI
Corvaja, Pietro; Omodeo, Eugenio; Vallata, Luca On the Diophantine complexity of the set of prime numbers. (English) Zbl 1431.11139 Cégielski, Patrick (ed.) et al., Studies in weak arithmetics. Volume 3. Papers based on the conference “Journées sur les Arithmétiques Faibles (Weak Arithmetics Days)” (JAF33), University of Gothenburg, Gothenburg, Sweden, June 16–18, 2014 and the conference (JAF34), CUNY, New York, NY, USA, July 7–9, 2015. Stanford, CA: CSLI Publications. CSLI Lect. Notes 217, 21-46 (2016). MSC: 11U05 03D15 PDFBibTeX XMLCite \textit{P. Corvaja} et al., CSLI Lect. Notes 217, 21--46 (2016; Zbl 1431.11139)
Levin, Aaron Integral points of bounded degree on affine curves. (English) Zbl 1380.11082 Compos. Math. 152, No. 4, 754-768 (2016). Reviewer: Rubén A. Hidalgo (Temuco) MSC: 11G30 30D35 PDFBibTeX XMLCite \textit{A. Levin}, Compos. Math. 152, No. 4, 754--768 (2016; Zbl 1380.11082) Full Text: DOI arXiv
Jenkins, Hugo Repeated binomial coefficients and high-degree curves. (English) Zbl 1404.11019 Integers 16, Paper A69, 14 p. (2016). MSC: 11B65 11G30 PDFBibTeX XMLCite \textit{H. Jenkins}, Integers 16, Paper A69, 14 p. (2016; Zbl 1404.11019) Full Text: arXiv EMIS
Hsu, Cheng-Hsiung; Yang, Chi-Ru Zeros’ distribution of the first kind Bessel functions. (English) Zbl 1342.33009 Differ. Equ. Appl. 8, No. 3, 377-384 (2016). MSC: 33C10 34A99 PDFBibTeX XMLCite \textit{C.-H. Hsu} and \textit{C.-R. Yang}, Differ. Equ. Appl. 8, No. 3, 377--384 (2016; Zbl 1342.33009) Full Text: DOI
Cornelissen, Gunther; Reynolds, Jonathan The perfect power problem for elliptic curves over function fields. (English) Zbl 1409.11046 New York J. Math. 22, 95-114 (2016). MSC: 11G05 11D41 PDFBibTeX XMLCite \textit{G. Cornelissen} and \textit{J. Reynolds}, New York J. Math. 22, 95--114 (2016; Zbl 1409.11046) Full Text: arXiv EMIS
Zannier, Umberto (ed.) [Siegel, Carl Ludwig; Fuchs, Clemens] On some applications of Diophantine approximations. (A translation of Carl Ludwig Siegel’s “Über einige Anwendungen diophantischer Approximationen” by Clemens Fuchs). (English, German) Zbl 1311.11006 Quaderni. Scuola Normale Superiore di Pisa. Monographs 2. Pisa: Edizioni della Normale (ISBN 978-88-7642-519-6/pbk; 978-88-7642-520-2/ebook). ix, 161 p. (2014). Reviewer: Michel Waldschmidt (Paris) MSC: 11-02 01A75 11J81 11J91 11D41 PDFBibTeX XMLCite \textit{U. Zannier} (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 (2014; Zbl 1311.11006) Full Text: DOI
Sha, Min Bounding the j-invariant of integral points on certain modular curves. (English) Zbl 1300.11071 Int. J. Number Theory 10, No. 6, 1545-1551 (2014). Reviewer: Xiao Xiao (Utica) MSC: 11G18 11J86 11G16 11G50 PDFBibTeX XMLCite \textit{M. Sha}, Int. J. Number Theory 10, No. 6, 1545--1551 (2014; Zbl 1300.11071) Full Text: DOI arXiv
Mahé, Valéry Prime power terms in elliptic divisibility sequences. (English) Zbl 1295.11063 Math. Comput. 83, No. 288, 1951-1991 (2014). Reviewer: Michael Th. Rassias (Princeton) MSC: 11G05 11A41 PDFBibTeX XMLCite \textit{V. Mahé}, Math. Comput. 83, No. 288, 1951--1991 (2014; Zbl 1295.11063) Full Text: DOI arXiv
Grant, David; Ih, Su-Ion Integral division points on curves. (English) Zbl 1292.11072 Compos. Math. 149, No. 12, 2011-2035 (2013). Reviewer: Filip Najman (Zagreb) MSC: 11G35 11G05 11G50 14G05 37P05 37P35 PDFBibTeX XMLCite \textit{D. Grant} and \textit{S.-I. Ih}, Compos. Math. 149, No. 12, 2011--2035 (2013; Zbl 1292.11072) Full Text: DOI
Bertrand, D. Multiplicity and vanishing lemmas for differential and \(q\)-difference equations in the Siegel-Shidlovsky theory. (English. Russian original) Zbl 1418.39007 J. Math. Sci., New York 180, No. 5, 542-549 (2012); translation from Fundam. Prikl. Mat. 16, No. 5, 19-30 (2010). MSC: 39A13 58A14 14C30 PDFBibTeX XMLCite \textit{D. Bertrand}, J. Math. Sci., New York 180, No. 5, 542--549 (2012; Zbl 1418.39007); translation from Fundam. Prikl. Mat. 16, No. 5, 19--30 (2010) Full Text: DOI
Levin, Aaron Siegel’s theorem and the Shafarevich conjecture. (English. French summary) Zbl 1271.11065 J. Théor. Nombres Bordx. 24, No. 3, 705-727 (2012). Reviewer: Aristides Kontogeorgis (Panepistimiopolis) MSC: 11G30 11G10 11D41 11D45 PDFBibTeX XMLCite \textit{A. Levin}, J. Théor. Nombres Bordx. 24, No. 3, 705--727 (2012; Zbl 1271.11065) Full Text: DOI arXiv
Levesque, Claude; Waldschmidt, Michel Some remarks on Diophantine equations and Diophantine approximation. (English) Zbl 1247.11041 Vietnam J. Math. 39, No. 3, 343-368 (2011). Reviewer: Volker Ziegler (Graz) MSC: 11D59 11J87 11D25 PDFBibTeX XMLCite \textit{C. Levesque} and \textit{M. Waldschmidt}, Vietnam J. Math. 39, No. 3, 343--368 (2011; Zbl 1247.11041) Full Text: arXiv
Reynolds, Jonathan On the pre-image of a point under an isogeny and Siegel’s theorem. (English) Zbl 1283.11090 New York J. Math. 17, 163-172 (2011). MSC: 11G05 PDFBibTeX XMLCite \textit{J. Reynolds}, New York J. Math. 17, 163--172 (2011; Zbl 1283.11090) Full Text: arXiv EMIS
Ayad, Mohamed On irreducible polynomials over \(\mathbb Q\) which are reducible over \(\mathbb F_p\) for all \(p\). (English) Zbl 1222.11124 Rocky Mt. J. Math. 40, No. 5, 1377-1389 (2010). Reviewer: Florian Luca (Morelia) MSC: 11R09 PDFBibTeX XMLCite \textit{M. Ayad}, Rocky Mt. J. Math. 40, No. 5, 1377--1389 (2010; Zbl 1222.11124) Full Text: DOI
Gritsenko, V.; Hulek, K.; Sankaran, G. K. Moduli spaces of irreducible symplectic manifolds. (English) Zbl 1230.14051 Compos. Math. 146, No. 2, 404-434 (2010). Reviewer: Bernd Kreußler (Limerick) MSC: 14J15 11E25 11F55 14J35 32J27 53C26 PDFBibTeX XMLCite \textit{V. Gritsenko} et al., Compos. Math. 146, No. 2, 404--434 (2010; Zbl 1230.14051) Full Text: DOI arXiv
Everest, Graham; Mahé, Valéry A generalization of Siegel’s theorem and Hall’s conjecture. (English) Zbl 1253.11064 Exp. Math. 18, No. 1, 1-9 (2009). Reviewer: Jan Steffen Müller (Hamburg) MSC: 11G05 11G50 11A41 PDFBibTeX XMLCite \textit{G. Everest} and \textit{V. Mahé}, Exp. Math. 18, No. 1, 1--9 (2009; Zbl 1253.11064) Full Text: DOI arXiv Euclid
Alvanos, Paraskevas; Bilu, Yuri; Poulakis, Dimitrios Characterizing algebraic curves with infinitely many integral points. (English) Zbl 1196.11088 Int. J. Number Theory 5, No. 4, 585-590 (2009). Reviewer: Marco Antei (Bonn) MSC: 11G30 14H25 11D45 PDFBibTeX XMLCite \textit{P. Alvanos} et al., Int. J. Number Theory 5, No. 4, 585--590 (2009; Zbl 1196.11088) Full Text: DOI arXiv
Zannier, Umberto Roth’s theorem, integral points and certain ramified covers of \(\mathbb P_1\). (English) Zbl 1231.11069 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). 471-491 (2009). Reviewer: Jan-Hendrik Evertse (Leiden) MSC: 11G30 11G32 11J68 11J87 PDFBibTeX XMLCite \textit{U. Zannier}, in: Analytic number theory. Essays in honour of Klaus Roth on the occasion of his 80th birthday. Cambridge: Cambridge University Press. 471--491 (2009; Zbl 1231.11069)
Gasbarri, C. Dyson’s theorem for curves. (English) Zbl 1242.11043 J. Number Theory 129, No. 1, 36-58 (2009). Reviewer: Jonathan Pila (Oxford) MSC: 11G30 11G50 14G40 14H25 PDFBibTeX XMLCite \textit{C. Gasbarri}, J. Number Theory 129, No. 1, 36--58 (2009; Zbl 1242.11043) Full Text: DOI arXiv
Borel, Armand Automorphic forms on \(\text{SL}_2(\mathbb R)\). Paperback reprint of the hardback edition 1997. (English) Zbl 1142.11035 Cambridge Tracts in Mathematics 130. Cambridge: Cambridge University Press (ISBN 978-0-521-07212-0/pbk). x, 192 p. (2008). MSC: 11F72 11-02 11F12 11F70 22E30 22E45 PDFBibTeX XMLCite \textit{A. Borel}, Automorphic forms on \(\text{SL}_2(\mathbb R)\). Paperback reprint of the hardback edition 1997. Cambridge: Cambridge University Press (2008; Zbl 1142.11035)
Everest, Graham; Ingram, Patrick; Mahé, Valéry; Stevens, Shaun The uniform primality conjecture for elliptic curves. (English) Zbl 1246.11117 Acta Arith. 134, No. 2, 157-181 (2008). MSC: 11G05 11A41 PDFBibTeX XMLCite \textit{G. Everest} et al., Acta Arith. 134, No. 2, 157--181 (2008; Zbl 1246.11117) Full Text: DOI arXiv
Ichihara, Yumiko; Matsumoto, Kohji On the Siegel-Tatuzawa theorem for a class of \(L\)-functions. (English) Zbl 1190.11046 Kyushu J. Math. 62, No. 1, 201-215 (2008). Reviewer: Jie Wu (Vandœuvre-lès-Nancy) MSC: 11M20 11F66 11M41 PDFBibTeX XMLCite \textit{Y. Ichihara} and \textit{K. Matsumoto}, Kyushu J. Math. 62, No. 1, 201--215 (2008; Zbl 1190.11046) Full Text: DOI
Li, Weigu; Lu, Kening A Siegel theorem for dynamical systems under random perturbations. (English) Zbl 1145.60317 Discrete Contin. Dyn. Syst., Ser. B 9, No. 3-4, 635-642 (2008). MSC: 60H15 37H05 37L55 37L25 37D10 PDFBibTeX XMLCite \textit{W. Li} and \textit{K. Lu}, Discrete Contin. Dyn. Syst., Ser. B 9, No. 3--4, 635--642 (2008; Zbl 1145.60317) Full Text: DOI
Soundararajan, K. The number of imaginary quadratic fields with a given class number. (English) Zbl 1151.11053 Hardy-Ramanujan J. 30, 13-18 (2007). Reviewer: Franz Lemmermeyer (Jagstzell) MSC: 11R11 11R29 PDFBibTeX XMLCite \textit{K. Soundararajan}, Hardy-Ramanujan J. 30, 13--18 (2007; Zbl 1151.11053) Full Text: arXiv
Faltings, Gerd Mathematics around Kim’s new proof of Siegel’s theorem. (English) Zbl 1204.11097 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, 173-188 (2007). Reviewer: Dimitros Poulakis (Thessaloniki) MSC: 11G30 14F20 14G99 PDFBibTeX XMLCite \textit{G. Faltings}, CRM Ser. (N.S.) 4, 173--188 (2007; Zbl 1204.11097)
Ghioca, D.; Tucker, T. J. Siegel’s theorem for Drinfeld modules. (English) Zbl 1170.11012 Math. Ann. 339, No. 1, 37-60 (2007). Reviewer: Jan-Hendrik Evertse (Leiden) MSC: 11G09 11J68 37F10 11G50 PDFBibTeX XMLCite \textit{D. Ghioca} and \textit{T. J. Tucker}, Math. Ann. 339, No. 1, 37--60 (2007; Zbl 1170.11012) Full Text: DOI arXiv
Lettl, Günter Parametrized solutions of Diophantine equations. (English) Zbl 1108.11028 Math. Slovaca 54, No. 5, 465-471 (2004). MSC: 11D59 14G05 PDFBibTeX XMLCite \textit{G. Lettl}, Math. Slovaca 54, No. 5, 465--471 (2004; Zbl 1108.11028) Full Text: EuDML
Peter, Manfred Dirichlet series and automorphic functions associated to a quadratic form. (English) Zbl 1047.11048 Nagoya Math. J. 171, 1-50 (2003). Reviewer: Taro Horie (Shiroko) MSC: 11F37 11F66 11E45 PDFBibTeX XMLCite \textit{M. Peter}, Nagoya Math. J. 171, 1--50 (2003; Zbl 1047.11048) Full Text: DOI
Martin, Gaven J. Analytic continuation for Beltrami systems, Siegel’s theorem for UQR maps, and the Hilbert-Smith conjecture. (English) Zbl 1013.30016 Math. Ann. 324, No. 2, 329-340 (2002). Reviewer: Erich Hoy (Friedberg) MSC: 30C65 53A04 54F65 PDFBibTeX XMLCite \textit{G. J. Martin}, Math. Ann. 324, No. 2, 329--340 (2002; Zbl 1013.30016) Full Text: DOI
Corvaja, Pietro; Zannier, Umberto A subspace theorem approach to integral points on curves. (English. Abridged French version) Zbl 1012.11051 C. R., Math., Acad. Sci. Paris 334, No. 4, 267-271 (2002). Reviewer: Paul Vojta (Berkeley) MSC: 11G30 11J13 11D75 PDFBibTeX XMLCite \textit{P. Corvaja} and \textit{U. Zannier}, C. R., Math., Acad. Sci. Paris 334, No. 4, 267--271 (2002; Zbl 1012.11051) Full Text: DOI
Raghavan, S. The Siegel formula and beyond. (English) Zbl 1040.11025 Venkataramana, T. N. (ed.), Cohomology of arithmetic groups, \(L\)-functions and automorphic forms. Proceedings of an international conference, Mumbai, India, December 1998–January 1999. New Delhi: Narosa Publishing House; published for the Tata Institute of Fundamental Research (ISBN 81-7319-421-1/hbk). Stud. Math., Tata Inst. Fundam. Res. 15, 116-126 (2001). Reviewer: Günter Köhler (Würzburg) MSC: 11E45 11E25 11F27 11F46 PDFBibTeX XMLCite \textit{S. Raghavan}, in: Cohomology of arithmetic groups, \(L\)-functions and automorphic forms. Proceedings of an international conference, Mumbai, India, December 1998--January 1999. New Delhi: Narosa Publishing House; published for the Tata Institute of Fundamental Research. 116--126 (2001; Zbl 1040.11025)
Morishita, Masanori; Watanabe, Takao Adele geometry of numbers. (English) Zbl 1047.11067 Miyake, Katsuya (ed.), Class field theory – its centenary and prospect. Proceedings of the 7th MSJ International Research Institute of the Mathematical Society of Japan, Tokyo, Japan, June 3–12, 1998. Tokyo: Mathematical Society of Japan (ISBN 4-931469-11-6/hbk). Adv. Stud. Pure Math. 30, 509-536 (2001). Reviewer: Ranjeet Sehmi (Chandigarh) MSC: 11H99 11R56 PDFBibTeX XMLCite \textit{M. Morishita} and \textit{T. Watanabe}, Adv. Stud. Pure Math. 30, 509--536 (2001; Zbl 1047.11067)
Davenport, Harold [Montgomery, Hugh L.] Multiplicative number theory. Revised and with a preface by Hugh L. Montgomery. 3rd ed. (English) Zbl 1002.11001 Graduate Texts in Mathematics. 74. New York, NY: Springer. x, 177 p. DM 99.00; öS 723.00; sFr. 90.50; £34.00; $ 49.95 (2000). Reviewer: O.Ninnemann (Berlin) MSC: 11-02 11-01 11Nxx 11Lxx 11Mxx 11P32 11N35 PDFBibTeX XMLCite \textit{H. Davenport}, Multiplicative number theory. Revised and with a preface by Hugh L. Montgomery. 3rd ed. New York, NY: Springer (2000; Zbl 1002.11001)
Raghavan, S. Siegel’s main theorem for quadratic forms. (English) Zbl 0987.11028 Bambah, R. P. (ed.) et al., Number theory. Basel: Birkhäuser. Trends in Mathematics. 315-324 (2000). Reviewer: M.Peters (Münster) MSC: 11E45 11F46 11-02 PDFBibTeX XMLCite \textit{S. Raghavan}, in: Number theory. Basel: Birkhäuser. 315--324 (2000; Zbl 0987.11028)
Dèbes, Pierre; Fried, Michael D. Integral specialization of families of rational functions. (English) Zbl 1016.12002 Pac. J. Math. 190, No. 1, 45-85 (1999). Reviewer: O.Ninneman (Berlin) MSC: 12E25 14G32 PDFBibTeX XMLCite \textit{P. Dèbes} and \textit{M. D. Fried}, Pac. J. Math. 190, No. 1, 45--85 (1999; Zbl 1016.12002) Full Text: DOI
Evertse, Jan-Hendrik; Schlickewei, Hans Peter The absolute subspace theorem and linear equations with unknowns from a multiplicative group. (English) Zbl 0953.11025 Győry, Kálmán (ed.) et al., Number theory in progress. Proceedings of the international conference organized by the Stefan Banach International Mathematical Center in honor of the 60th birthday of Andrzej Schinzel, Zakopane, Poland, June 30-July 9, 1997. Volume 1: Diophantine problems and polynomials. Berlin: de Gruyter. 121-142 (1999). Reviewer: A.J.van der Poorten (North Ryde) MSC: 11J68 11D61 11D04 PDFBibTeX XMLCite \textit{J.-H. Evertse} and \textit{H. P. Schlickewei}, in: Number theory in progress. Proceedings of the international conference organized by the Stefan Banach International Mathematical Center in honor of the 60th birthday of Andrzej Schinzel, Zakopane, Poland, June 30--July 9, 1997. Volume 1: Diophantine problems and polynomials. Berlin: de Gruyter. 121--142 (1999; Zbl 0953.11025)
Waldschmidt, Michel Extrapolation with interpolation determinants. (English) Zbl 0938.11040 Srinivasa Rao, K. (ed.) et al., Special functions and differential equations. Proceedings of a workshop, WSSF ’97, Madras, India, January 13-24, 1997. New Delhi: Allied Publishers Private Limited. 356-366 (1998). Reviewer: Jan-Hendrik Evertse (Leiden) MSC: 11J99 11-02 PDFBibTeX XMLCite \textit{M. Waldschmidt}, in: Special functions and differential equations. Proceedings of a workshop, WSSF '97, Madras, India, January 13--24, 1997. New Delhi: Allied Publishers Private Limited. 356--366 (1998; Zbl 0938.11040)
Tenba, Masaaki Introduction to transcendental numbers: proof of the Mahler-Manin conjecture. (Japanese) Zbl 0961.11023 Seminar on Mathematical Sciences. 26. Yokohama: Keio University, Department of Mathematics, viii, 47 p. (1998). Reviewer: Yin Linsheng (Guangzhou) MSC: 11J81 11J89 11-02 11J91 11J85 11K60 11J25 11J72 PDFBibTeX XMLCite \textit{M. Tenba}, Introduction to transcendental numbers: proof of the Mahler-Manin conjecture (Japanese). Yokohama: Keio University, Department of Mathematics (1998; Zbl 0961.11023)
Bilu, Yuri Integral points on Galois covers. (English) Zbl 0930.11043 Mat. Contemp. 14, 1-11 (1998). Reviewer: R.J.Stroeker (Rotterdam) MSC: 11G30 14G05 11J86 PDFBibTeX XMLCite \textit{Y. Bilu}, Mat. Contemp. 14, 1--11 (1998; Zbl 0930.11043)
Friedlander, John; Iwaniec, Henryk The polynomial \(X^2+Y^4\) captures its primes. (English) Zbl 0926.11068 Ann. Math. (2) 148, No. 3, 945-1040 (1998). Reviewer: G.Greaves (Cardiff) MSC: 11N35 11N32 11N36 11P21 PDFBibTeX XMLCite \textit{J. Friedlander} and \textit{H. Iwaniec}, Ann. Math. (2) 148, No. 3, 945--1040 (1998; Zbl 0926.11068) Full Text: DOI arXiv EuDML Link
Górowski, Jan; Zajtz, Andrzej Analytic solvability of some singular differential operators. (English) Zbl 0951.35028 Zesz. Nauk. Uniw. Jagiell. 1209, Univ. Iagell. Acta Math. 35, 183-187 (1997). MSC: 35C10 PDFBibTeX XMLCite \textit{J. Górowski} and \textit{A. Zajtz}, Zesz. Nauk. Uniw. Jagiell., Univ. Iagell. Acta Math. 1209(35), 183--187 (1997; Zbl 0951.35028)
Borel, Armand Automorphic forms on \(\text{SL}_2(\mathbb R)\). (English) Zbl 0912.11023 Cambridge Tracts in Mathematics. 130. Cambridge: Cambridge University Press. x, 192 p. (1997). Reviewer: Jürgen Elstrodt (Münster) MSC: 11F72 11-02 11F12 11F70 22E30 22E45 PDFBibTeX XMLCite \textit{A. Borel}, Automorphic forms on \(\text{SL}_2(\mathbb R)\). Cambridge: Cambridge University Press (1997; Zbl 0912.11023)
Roy, Damien; Thunder, Jeffrey Lin An absolute Siegel’s lemma. (English) Zbl 0860.11036 J. Reine Angew. Math. 476, 1-26 (1996); addendum and erratum ibid. 508, 47-51 (1999). Reviewer: J.-H.Evertse (Leiden) MSC: 11H99 11R99 PDFBibTeX XMLCite \textit{D. Roy} and \textit{J. L. Thunder}, J. Reine Angew. Math. 476, 1--26 (1996; Zbl 0860.11036) Full Text: Crelle EuDML
Thunder, Jeffrey Lin An adelic Minkowski-Hlawka theorem and an application to Siegel’s lemma. (English) Zbl 0858.11034 J. Reine Angew. Math. 475, 167-185 (1996). Reviewer: J.-H.Evertse (Leiden) MSC: 11H16 11R56 11R58 PDFBibTeX XMLCite \textit{J. L. Thunder}, J. Reine Angew. Math. 475, 167--185 (1996; Zbl 0858.11034) Full Text: DOI Crelle EuDML
Thunder, Jeffrey Lin Siegel’s lemma for function fields. (English) Zbl 0830.11024 Mich. Math. J. 42, No. 1, 147-162 (1995). Reviewer: D.Roy (Ottawa) MSC: 11J13 11D04 11R58 11R56 PDFBibTeX XMLCite \textit{J. L. Thunder}, Mich. Math. J. 42, No. 1, 147--162 (1995; Zbl 0830.11024) Full Text: DOI
Chierchia, L.; Falcolini, C. A direct proof of a theorem by Kolmogorov in Hamiltonian systems. (English) Zbl 0836.34040 Ann. Sc. Norm. Super. Pisa, Cl. Sci., IV. Ser. 21, No. 4, 541-593 (1994). Reviewer: H.Rüßmann (Mainz) MSC: 34C27 34D05 34A25 37J99 PDFBibTeX XMLCite \textit{L. Chierchia} and \textit{C. Falcolini}, Ann. Sc. Norm. Super. Pisa, Cl. Sci., IV. Ser. 21, No. 4, 541--593 (1994; Zbl 0836.34040) Full Text: Numdam EuDML
Voloch, José Felipe Siegel’s theorem for complex function fields. (English) Zbl 0810.11037 Proc. Am. Math. Soc. 121, No. 4, 1307-1308 (1994). Reviewer: G.Faltings (Bonn) MSC: 11G05 11G30 14G25 PDFBibTeX XMLCite \textit{J. F. Voloch}, Proc. Am. Math. Soc. 121, No. 4, 1307--1308 (1994; Zbl 0810.11037) Full Text: DOI
Stirnemann, Andreas A renormalization proof of Siegel’s theorem. (English) Zbl 0803.34023 Nonlinearity 7, No. 3, 943-958 (1994). Reviewer: Ding Tongren (Beijing) MSC: 34C20 37C55 37C75 34D10 PDFBibTeX XMLCite \textit{A. Stirnemann}, Nonlinearity 7, No. 3, 943--958 (1994; Zbl 0803.34023) Full Text: DOI
Andrianov, Anatoli Multiplicative arithmetic of finite quadratic forms over Dedekind rings. (English) Zbl 0794.11018 Proc. Indian Acad. Sci., Math. Sci. 104, No. 1, 31-48 (1994). Reviewer: M.Peters (Münster) MSC: 11E45 11F27 PDFBibTeX XMLCite \textit{A. Andrianov}, Proc. Indian Acad. Sci., Math. Sci. 104, No. 1, 31--48 (1994; Zbl 0794.11018) Full Text: DOI
Silverman, Joseph H. Integer points, diophantine approximation, and iteration of rational maps. (English) Zbl 0811.11052 Duke Math. J. 71, No. 3, 793-829 (1993). Reviewer: P.Vojta (Berkeley) MSC: 11J99 14G25 30D05 37B99 PDFBibTeX XMLCite \textit{J. H. Silverman}, Duke Math. J. 71, No. 3, 793--829 (1993; Zbl 0811.11052) Full Text: DOI
Kooman, Robert-Jan Faltings’s version of Siegel’s lemma. (English) Zbl 0812.11040 Edixhoven, Bas (ed.) et al., Diophantine approximation and abelian varieties. Introductory lectures. Papers of the conference, held in Soesterberg, Netherlands, April 12-16, 1992. Berlin: Springer-Verlag. Lect. Notes Math. 1566, 93-96 (1993). Reviewer: W.Kleinert (Berlin) MSC: 11J25 11D04 11H06 11D75 PDFBibTeX XMLCite \textit{R.-J. Kooman}, Lect. Notes Math. 1566, 93--96 (1993; Zbl 0812.11040)
Bombieri, Enrico Effective Diophantine approximation on \(\mathbb{G}_ m\). (English) Zbl 0774.11034 Ann. Sc. Norm. Super. Pisa, Cl. Sci., IV. Ser. 20, No. 1, 61-89 (1993). Reviewer: M.Waldschmidt (Paris) MSC: 11J82 11J68 11D41 11D57 PDFBibTeX XMLCite \textit{E. Bombieri}, Ann. Sc. Norm. Super. Pisa, Cl. Sci., IV. Ser. 20, No. 1, 61--89 (1993; Zbl 0774.11034) Full Text: Numdam EuDML
Andrianov, A. N. Queen’s lectures on arithmetical composition of quadratic forms. (English) Zbl 0820.11025 Queen’s Papers in Pure and Applied Mathematics. 92. Kingston: Queen’s Univ.. 62 p. (1992). Reviewer: M.Peters (Münster) MSC: 11E45 11-02 11E12 11F60 PDFBibTeX XMLCite \textit{A. N. Andrianov}, Queen's lectures on arithmetical composition of quadratic forms. Kingston: Queen's Univ. (1992; Zbl 0820.11025)
Sato, Fumihiro Siegel’s main theorem of homogeneous spaces. (English) Zbl 0789.11030 Comment. Math. Univ. St. Pauli 41, No. 2, 141-167 (1992). Reviewer: M.Muro (Yanagido) MSC: 11F46 PDFBibTeX XMLCite \textit{F. Sato}, Comment. Math. Univ. St. Pauli 41, No. 2, 141--167 (1992; Zbl 0789.11030)
Pérez-Marco, Ricardo Complete solution of Siegel’s linearisation problem of an application that is holomorphic in the neighborhood of a fixed point (after J.-C. Yoccoz). (Solution complète au problème de Siegel de linéarisation d’une application holomorphe au voisinage d’un point fixe [d’après J.-C. Yoccoz].) (French) Zbl 0791.30019 Séminaire Bourbaki, Vol. 1991/92. Exposés 745-759 (avec table par noms d’auteurs de 1948/49 à 1991/92). Paris: Société Mathématique de France, Astérisque. 206, 273-310 (Exp. No. 753) (1992). Reviewer: H.Kriete (Aachen) MSC: 30D05 37B99 39B12 PDFBibTeX XMLCite \textit{R. Pérez-Marco}, in: Séminaire Bourbaki, volume 1991/92. Exposés 745-759 (avec table par noms d'auteurs de 1948/49 à 1991/92). Paris: Société Mathématique de France. 273--310 (Exp. No. 753) (1992; Zbl 0791.30019) Full Text: Numdam EuDML
Nair, M.; Perelli, A. An asymptotic formula for moments of reciprocal values of L-functions. (English) Zbl 0793.11023 Bombieri, E. (ed.) et al., Proceedings of the Amalfi conference on analytic number theory, held at Maiori, Amalfi, Italy, from 25 to 29 September, 1989. Salerno: Universitá di Salerno, 345-353 (1992). Reviewer: D.R.Heath-Brown (Oxford) MSC: 11M20 PDFBibTeX XMLCite \textit{M. Nair} and \textit{A. Perelli}, in: Proceedings of the Amalfi conference on analytic number theory, held at Maiori, Amalfi, Italy, from 25 to 29 September, 1989. Salerno: Universitá di Salerno. 345--353 (1992; Zbl 0793.11023)
Robert, Alain The Siegel theorem on Diophantine equations. (English) Zbl 0736.11072 Expo. Math. 9, No. 1, 45-87 (1991). Reviewer: P.Vojta (Berkeley) MSC: 11U10 03H15 11D75 11J68 14K15 14H25 14G25 PDFBibTeX XMLCite \textit{A. Robert}, Expo. Math. 9, No. 1, 45--87 (1991; Zbl 0736.11072)
Arenas, A. A note on representations of integers by some ternary quadratic forms. (English) Zbl 0794.11017 Indian J. Math. 33, No. 3, 269-274 (1991). Reviewer: M.Peters (Münster) MSC: 11E20 PDFBibTeX XMLCite \textit{A. Arenas}, Indian J. Math. 33, No. 3, 269--274 (1991; Zbl 0794.11017)
Lubotzky, Alexander Lattices of minimal covolume in \(\mathrm{SL}_ 2\): a nonarchimedean analogue of Siegel’s theorem \(\mu\geq \pi /21\). (English) Zbl 0731.22009 J. Am. Math. Soc. 3, No. 4, 961-975 (1990). Reviewer: K. Riives (Tartu) MSC: 22E40 20G25 22E20 PDFBibTeX XMLCite \textit{A. Lubotzky}, J. Am. Math. Soc. 3, No. 4, 961--975 (1990; Zbl 0731.22009) Full Text: DOI
Mignotte, Maurice Polynomials and Siegel’s lemma. (Polynômes et lemme de Siegel.) (French) Zbl 0707.11074 Fifty years of polynomials, Proc. Conf. in Honour of Alain Durand, Paris/Fr. 1988, Lect. Notes Math. 1415, 160-166 (1990). Reviewer: David W. Boyd (Vancouver) MSC: 11R09 11R04 30C10 PDFBibTeX XML
Bertrand, Daniel Transcendental methods in arithmetic geometry. (English) Zbl 0706.11039 Analytic number theory, Proc. Jap.-Fr. Symp., Tokyo/Jap. 1988, Lect. Notes Math. 1434, 31-44 (1990). Reviewer: P.Philippon MSC: 11J86 14K15 14G05 PDFBibTeX XML
Eliasson, L. H. Hamiltonian systems with linear normal form near an invariant torus. (English) Zbl 0744.58019 Nonlinear dynamics, Proc. Conf., Bologna/Italy 1988, 11-29 (1989). Reviewer: M.Puta (Timişoara) MSC: 37J99 37G05 PDFBibTeX XMLCite \textit{L. H. Eliasson}, in: Conference on nonlinear dynamics, Bologna, Italy, 30 May-3 June 1988. Singapore etc.: World Scientific. 11--29 (1989; Zbl 0744.58019)
Böcherer, Siegfried Siegel modular forms and theta series. (English) Zbl 0681.10019 Theta functions, Proc. 35th Summer Res. Inst. Bowdoin Coll., Brunswick/ME 1987, Proc. Symp. Pure Math. 49, Pt. 2, 3-17 (1989). Reviewer: A.Krieg MSC: 11F27 PDFBibTeX XML
Marmi, Stefano Diophantine conditions and K.A.M. estimates for the Siegel theorem in \(C^ N\). (English) Zbl 0683.58016 Meccanica 23, No. 3, 139-146 (1988). MSC: 58C99 32E30 PDFBibTeX XMLCite \textit{S. Marmi}, Meccanica 23, No. 3, 139--146 (1988; Zbl 0683.58016) Full Text: DOI
Nair, Mohan; Perelli, Alberto Sieve methods and class-number problems. II. (English) Zbl 0665.10029 J. Reine Angew. Math. 388, 40-64 (1988). Reviewer: S.Kanemitsu MSC: 11N35 11M06 11R23 11R11 PDFBibTeX XMLCite \textit{M. Nair} and \textit{A. Perelli}, J. Reine Angew. Math. 388, 40--64 (1988; Zbl 0665.10029) Full Text: Crelle EuDML
Teterin, Yu. G. Action of the group of classes on representations of numbers by a ternary quadratic form: The formulas of Siegel and Kneser-Hsia-Peters. (English. Russian original) Zbl 0663.10020 J. Sov. Math. 43, No. 5, 2709-2721 (1988); translation from Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 151, 141-158 (1986). MSC: 11E12 11E16 11D85 PDFBibTeX XMLCite \textit{Yu. G. Teterin}, J. Sov. Math. 43, No. 5, 2709--2721 (1988; Zbl 0663.10020); translation from Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 151, 141--158 (1986) Full Text: DOI
Robinson, Abraham Abraham Robinson’s notes. On a relatively effective procedure getting all quasi-integer solutions of Diophantine equations with positive genus. (English) Zbl 0652.10013 Ann. Jap. Assoc. Philos. Sci. 7, No. 3, 111-115 (1988). Reviewer: Michel Waldschmidt (Paris) MSC: 11D41 11J04 03H15 03C60 11U10 PDFBibTeX XMLCite \textit{A. Robinson}, Ann. Japan Assoc. Philos. Sci. 7, No. 3, 111--115 (1988; Zbl 0652.10013) Full Text: DOI
Sukiasian, G. S. Randomizable point systems. (English) Zbl 0635.60013 Acta Appl. Math. 9, 83-95 (1987). Reviewer: F.Papangelou MSC: 60D05 60G55 PDFBibTeX XMLCite \textit{G. S. Sukiasian}, Acta Appl. Math. 9, 83--95 (1987; Zbl 0635.60013) Full Text: DOI
Nikolenko, N. V. The method of Poincaré normal forms in problems of integrability of equations of evolution type. (English. Russian original) Zbl 0632.35026 Russ. Math. Surv. 41, No. 5, 63-114 (1986); translation from Usp. Mat. Nauk 41, No. 5(251), 109-152 (1986). Reviewer: I.Ginchev MSC: 35G10 35K25 47D03 35Q99 PDFBibTeX XMLCite \textit{N. V. Nikolenko}, Russ. Math. Surv. 41, No. 5, 63--114 (1986; Zbl 0632.35026); translation from Usp. Mat. Nauk 41, No. 5(251), 109--152 (1986) Full Text: DOI
Teterin, Yu. G. Action of the class group on representations of integers by a ternary quadratic form. Siegel and Kneser-Hsia-Peters formulae. (Russian) Zbl 0594.10015 Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 151, 141-158 (1986). Reviewer: M.Peters MSC: 11E12 11E20 11D85 PDFBibTeX XMLCite \textit{Yu. G. Teterin}, Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 151, 141--158 (1986; Zbl 0594.10015) Full Text: EuDML
Tatuzawa, T. On a proof of Siegel’s theorem. (English) Zbl 0622.10029 Number theory and combinatorics, Proc. Conf., Tokyo/Jap., Okayama/Jap. and Kyoto/Jap. 1984, 383-416 (1985). Reviewer: H.Müller MSC: 11M06 PDFBibTeX XML
Demailly, Jean-Pierre Mésures de Monge-Ampère et caractérisation géométrique des variétés algébriques affines. (French) Zbl 0579.32012 Mém. Soc. Math. Fr., Nouv. Sér. 19, 124 p. (1985). MSC: 32C30 32U05 32A22 32J10 32J99 PDFBibTeX XMLCite \textit{J.-P. Demailly}, Mém. Soc. Math. Fr., Nouv. Sér. 19, 124 p. (1985; Zbl 0579.32012) Full Text: DOI Numdam
Chudnovsky, Gregory V. Contributions to the theory of transcendental numbers. (”Portions of this Volume were translated from the Russian by G. A. Kandall”). (English) Zbl 0594.10024 Mathematical Surveys and Monographs, No. 19. Providence, R.I.: American Mathematical Society (AMS). XI, 450 p. $ 80.00 (1984). Reviewer: S.Kotov MSC: 11J81 11-02 11J85 11J04 11J17 11J68 11D61 11K60 PDFBibTeX XML
Raghavan, S. A duality for representation by quadratic forms. (English) Zbl 0551.10018 Abh. Math. Semin. Univ. Hamb. 54, 83-90 (1984). Reviewer: M.Peters MSC: 11E12 11E16 11R80 PDFBibTeX XMLCite \textit{S. Raghavan}, Abh. Math. Semin. Univ. Hamb. 54, 83--90 (1984; Zbl 0551.10018) Full Text: DOI
Mok, Ngaiming An embedding theorem of complete Kähler manifolds of positive bisectional curvature onto affine algebraic varieties. (English) Zbl 0536.53062 Bull. Soc. Math. Fr. 112, 197-258 (1984). MSC: 53C55 PDFBibTeX XMLCite \textit{N. Mok}, Bull. Soc. Math. Fr. 112, 197--258 (1984; Zbl 0536.53062) Full Text: DOI Numdam EuDML
Novikova, L. V. Infinite-dimensional analog of Siegel’s theorem. (English. Russian original) Zbl 0539.47048 Funct. Anal. Appl. 16, 141-143 (1982); translation from Funkts. Anal. Prilozh. 16, No. 2, 78-79 (1982). MSC: 47J05 46E35 58C30 PDFBibTeX XMLCite \textit{L. V. Novikova}, Funct. Anal. Appl. 16, 141--143 (1982; Zbl 0539.47048); translation from Funkts. Anal. Prilozh. 16, No. 2, 78--79 (1982) Full Text: DOI
Zhang, Dexian A new mean value theorem for the function mu(n). (Chinese) Zbl 0515.10039 J. Shandong Coll. Oceanol. 12, No. 1, 11-20 (1982). MSC: 11N13 11N35 11N05 11M35 PDFBibTeX XMLCite \textit{D. Zhang}, J. Shandong Coll. Oceanol. 12, No. 1, 11--20 (1982; Zbl 0515.10039)
Bank, Steven B. A note on a theorem of C. L. Siegel concerning Bessel’s equation. (English) Zbl 0489.34003 Compos. Math. 46, 15-32 (1982). MSC: 34M99 30D05 33C10 12H20 PDFBibTeX XMLCite \textit{S. B. Bank}, Compos. Math. 46, 15--32 (1982; Zbl 0489.34003) Full Text: Numdam EuDML
Vepkhvadze, T. V. To a formula of Siegel. (Russian) Zbl 0478.10012 Acta Arith. 40, 125-142 (1982). Reviewer: Meinhard Peters (Münster) MSC: 11E45 11E16 11F27 PDFBibTeX XMLCite \textit{T. V. Vepkhvadze}, Acta Arith. 40, 125--142 (1982; Zbl 0478.10012) Full Text: DOI
Haris, S. J. Number theoretical developments arising from the Siegel formula. (English) Zbl 0442.10017 Bull. Am. Math. Soc., New Ser. 2, 417-433 (1980). MSC: 11E76 11E45 11F27 14G05 14G20 14G25 14K25 PDFBibTeX XMLCite \textit{S. J. Haris}, Bull. Am. Math. Soc., New Ser. 2, 417--433 (1980; Zbl 0442.10017) Full Text: DOI
Lang, Serge Diophantine geometry. (English) Zbl 0115.38701 Interscience Tracts in Pure and Applied Mathematics. 11. New York and London: Interscience Publishers, a division of John Wiley and Sons. x, 170 pp. (1962). Reviewer: J. W. S. Cassels MSC: 11Gxx 14Gxx 11-02 14-02 11G10 11G50 14G40 14K15 11D41 14G05 12E25 PDFBibTeX XML
Macbeath, A. M.; Rogers, C. A. A modified form of Siegel’s mean value theorem. II. (English) Zbl 0083.26205 Proc. Camb. Philos. Soc. 54, 322-326 (1958). Reviewer: Edmund Hlawka (Wien) MSC: 11H60 PDFBibTeX XMLCite \textit{A. M. Macbeath} and \textit{C. A. Rogers}, Proc. Camb. Philos. Soc. 54, 322--326 (1958; Zbl 0083.26205)
Macbeath, A. M.; Rogers, C. A. Siegel’s mean value theorem in the geometry of numbers. (English) Zbl 0080.26601 Proc. Camb. Philos. Soc. 54, 139-151 (1958). Reviewer: K. Mahler MSC: 11H60 PDFBibTeX XMLCite \textit{A. M. Macbeath} and \textit{C. A. Rogers}, Proc. Camb. Philos. Soc. 54, 139--151 (1958; Zbl 0080.26601)
Macbeath, A. M.; Rogers, C. A. A modified form of Siegel’s mean-value theorem. (English) Zbl 0065.28101 Proc. Camb. Philos. Soc. 51, 565-576 (1955). Reviewer: Edmund Hlawka (Wien) MSC: 11H60 PDFBibTeX XMLCite \textit{A. M. Macbeath} and \textit{C. A. Rogers}, Proc. Camb. Philos. Soc. 51, 565--576 (1955; Zbl 0065.28101)
Landau, Edmund Über einige neuere Fortschritte der additiven Zahlentheorie. (German) Zbl 0016.20201 Cambridge Tracts in Mathematics and Mathematical Physics. 35. London: Cambridge University Press. 94 p. (1937). Reviewer: E. M. Wright (Aberdeen) MSC: 11-02 11P05 11P32 11B05 11E41 PDFBibTeX XML
Pillai, S. Sivasankaranarayana On the inequality “\(0<a^x-b^y\le n\)”. (English) Zbl 0001.26802 J. Indian Math. Soc. 19, 1-11 (1931). Reviewer: J. F. Koksma (Amsterdam) MSC: 11D75 PDFBibTeX XMLCite \textit{S. S. Pillai}, J. Indian Math. Soc. 19, 1--11 (1931; Zbl 0001.26802)