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Found 118 Documents (Results 1–100)

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S-unit equations and the asymptotic Fermat conjecture over number fields. (English) Zbl 07505765

Kurşungöz, Kağan (ed.) et al., Number theory. Proceedings of the Journées Arithmétiques, 2019, XXXI, Istanbul University, Turkey, July 1–5, 2019. Berlin: De Gruyter. De Gruyter Proc. Math., 83-103 (2022).
MSC:  11D41 11G05 11D61
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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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Applications of Diophantine approximation to integral points and transcendence. (English) Zbl 1452.11004

Cambridge Tracts in Mathematics 212. Cambridge: Cambridge University Press (ISBN 978-1-108-42494-3/hbk; 978-1-108-34809-6/ebook). x, 198 p. (2018).
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Lecture notes on Diophantine analysis. With an appendix by Francesco Amoroso. (English) Zbl 1186.11001

Appunti. Scuola Normale Superiore di Pisa (Nuova Serie) 8. Pisa: Edizioni della Normale (ISBN 978-88-7642-341-3/pbk; 978-88-7642-517-2/ebook). xvi, 237 p. (2009).
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Polynomial powers and a common generalization of binomial Thue-Mahler equations and \(S\)-unit equations. (English) Zbl 1238.11042

Saradha, N. (ed.), Diophantine equations. Papers from the international conference held in honor of T. N. Shorey’s 60th birthday, Mumbai, India, December 16–20, 2005. New Delhi: Narosa Publishing House/Published for the Tata Institute of Fundamental Research (ISBN 978-81-7319-898-4/hbk). Studies in Mathematics. Tata Institute of Fundamental Research 20, 103-119 (2008).
MSC:  11D41 11D57 11D59
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On the Diophantine equation \(G_n(x)=G_m(y)\) with \(Q(x,y)=0\). (English) Zbl 1215.11031

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, 199-209 (2008).
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Solving Diophantine equations by Baker’s theory. (English) Zbl 1074.11021

Wüstholz, Gisbert (ed.), A panorama in number theory or The view from Baker’s garden. Based on a conference in honor of Alan Baker’s 60th birthday, Zürich, Switzerland, 1999. Cambridge: Cambridge University Press (ISBN 0-521-80799-9/hbk). 38-72 (2002).
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Exponential diophantine equations 1986-1996. (English) Zbl 0915.11019

Győry, Kálmán (ed.) et al., Number theory. Diophantine, computational and algebraic aspects. Proceedings of the international conference, Eger, Hungary, July 29–August 2, 1996. Berlin: de Gruyter. 523-539 (1998).
MSC:  11D61 11-02 11J86
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Diophantische Approximationen und Diophantische Gleichungen. (German) Zbl 0748.11001

Jahresbericht der DMV, Jubiläumstag., 100 Jahre DMV, Bremen/Dtschl. 1990, 297-326 (1992).
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Some recent applications of \(S\)-unit equations. (English) Zbl 0792.11005

Coray, Daniel (ed.) et al., Journées arithmétiques. Exposés présentés aux dix-septièmes congrès à Genève, Suisse, 9-13 septembre 1991. Paris: Société Mathématique de France, Astérisque. 209, 17-38 (1992).
MSC:  11D61 11D57 11R09
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Solutions of \(x+y=z\) in numbers which are almost \(S\)-units. (English) Zbl 0813.11017

Gong, Sheng (ed.) et al., International symposium on number theory and analysis in memory of Hua Loo Keng, held August 1-7, 1988 at the Tsing Hua University, Beijing, China. Volume I: Number theory. Berlin: Springer-Verlag. 279-291 (1991).
MSC:  11D57 11J86
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Introduction to classical mathematics I. From the quadratic reciprocity law to the uniformization theorem. Transl. from the German by John Stillwell. Rev. ed. (English) Zbl 0733.00001

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