Solving S Unit Mordell Thue Thue Mahler And Generalized Ramanujan Nagell Equations Via The Shimura Taniyama Conjecture
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Author |
: Rafael von Känel |
Publisher |
: American Mathematical Society |
Total Pages |
: 154 |
Release |
: 2023-06-22 |
ISBN-10 |
: 9781470464165 |
ISBN-13 |
: 1470464160 |
Rating |
: 4/5 (65 Downloads) |
Synopsis Solving $S$-Unit, Mordell, Thue, Thue–Mahler and Generalized Ramanujan–Nagell Equations via the Shimura–Taniyama Conjecture by : Rafael von Känel
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Author |
: Jennifer S. Balakrishnan |
Publisher |
: Springer Nature |
Total Pages |
: 587 |
Release |
: 2022-03-15 |
ISBN-10 |
: 9783030809140 |
ISBN-13 |
: 3030809145 |
Rating |
: 4/5 (40 Downloads) |
Synopsis Arithmetic Geometry, Number Theory, and Computation by : Jennifer S. Balakrishnan
This volume contains articles related to the work of the Simons Collaboration “Arithmetic Geometry, Number Theory, and Computation.” The papers present mathematical results and algorithms necessary for the development of large-scale databases like the L-functions and Modular Forms Database (LMFDB). The authors aim to develop systematic tools for analyzing Diophantine properties of curves, surfaces, and abelian varieties over number fields and finite fields. The articles also explore examples important for future research. Specific topics include● algebraic varieties over finite fields● the Chabauty-Coleman method● modular forms● rational points on curves of small genus● S-unit equations and integral points.
Author |
: Jan-Hendrik Evertse |
Publisher |
: Cambridge University Press |
Total Pages |
: 242 |
Release |
: 2022-04-28 |
ISBN-10 |
: 9781009050036 |
ISBN-13 |
: 1009050036 |
Rating |
: 4/5 (36 Downloads) |
Synopsis Effective Results and Methods for Diophantine Equations over Finitely Generated Domains by : Jan-Hendrik Evertse
This book provides the first thorough treatment of effective results and methods for Diophantine equations over finitely generated domains. Compiling diverse results and techniques from papers written in recent decades, the text includes an in-depth analysis of classical equations including unit equations, Thue equations, hyper- and superelliptic equations, the Catalan equation, discriminant equations and decomposable form equations. The majority of results are proved in a quantitative form, giving effective bounds on the sizes of the solutions. The necessary techniques from Diophantine approximation and commutative algebra are all explained in detail without requiring any specialized knowledge on the topic, enabling readers from beginning graduate students to experts to prove effective finiteness results for various further classes of Diophantine equations.
Author |
: Kağan Kurşungöz |
Publisher |
: Walter de Gruyter GmbH & Co KG |
Total Pages |
: 112 |
Release |
: 2021-11-08 |
ISBN-10 |
: 9783110761115 |
ISBN-13 |
: 3110761114 |
Rating |
: 4/5 (15 Downloads) |
Synopsis Number Theory by : Kağan Kurşungöz
Three major branches of number theory are included in the volume: namely analytic number theory, algebraic number theory, and transcendental number theory. Original research is presented that discusses modern techniques and survey papers from selected academic scholars.
Author |
: Paola Comparin |
Publisher |
: American Mathematical Soc. |
Total Pages |
: 282 |
Release |
: 2021-04-23 |
ISBN-10 |
: 9781470453275 |
ISBN-13 |
: 1470453274 |
Rating |
: 4/5 (75 Downloads) |
Synopsis Geometry at the Frontier: Symmetries and Moduli Spaces of Algebraic Varieties by : Paola Comparin
Articles in this volume are based on lectures given at three conferences on Geometry at the Frontier, held at the Universidad de la Frontera, Pucón, Chile in 2016, 2017, and 2018. The papers cover recent developments on the theory of algebraic varieties—in particular, of their automorphism groups and moduli spaces. They will be of interest to anyone working in the area, as well as young mathematicians and students interested in complex and algebraic geometry.
Author |
: Pablo Candela |
Publisher |
: American Mathematical Society |
Total Pages |
: 114 |
Release |
: 2023-07-31 |
ISBN-10 |
: 9781470465483 |
ISBN-13 |
: 1470465485 |
Rating |
: 4/5 (83 Downloads) |
Synopsis Nilspace Factors for General Uniformity Seminorms, Cubic Exchangeability and Limits by : Pablo Candela
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Author |
: David A. Craven |
Publisher |
: American Mathematical Society |
Total Pages |
: 226 |
Release |
: 2023-09-15 |
ISBN-10 |
: 9781470467029 |
ISBN-13 |
: 147046702X |
Rating |
: 4/5 (29 Downloads) |
Synopsis On Medium-Rank Lie Primitive and Maximal Subgroups of Exceptional Groups of Lie Type by : David A. Craven
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Author |
: Hiroshi Kihara |
Publisher |
: American Mathematical Society |
Total Pages |
: 144 |
Release |
: 2023-09-27 |
ISBN-10 |
: 9781470465421 |
ISBN-13 |
: 1470465426 |
Rating |
: 4/5 (21 Downloads) |
Synopsis Smooth Homotopy of Infinite-Dimensional $C^{infty }$-Manifolds by : Hiroshi Kihara
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Author |
: Agelos Georgakopoulos |
Publisher |
: American Mathematical Society |
Total Pages |
: 114 |
Release |
: 2023-09-15 |
ISBN-10 |
: 9781470467050 |
ISBN-13 |
: 1470467054 |
Rating |
: 4/5 (50 Downloads) |
Synopsis Analyticity Results in Bernoulli Percolation by : Agelos Georgakopoulos
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Author |
: Olivier Bernardi |
Publisher |
: American Mathematical Society |
Total Pages |
: 188 |
Release |
: 2023-09-27 |
ISBN-10 |
: 9781470466992 |
ISBN-13 |
: 1470466996 |
Rating |
: 4/5 (92 Downloads) |
Synopsis Percolation on Triangulations: A Bijective Path to Liouville Quantum Gravity by : Olivier Bernardi
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