Solving $S$-Unit, Mordell, Thue, Thue–Mahler and Generalized Ramanujan–Nagell Equations via the Shimura–Taniyama Conjecture PDF Download
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Author: Rafael von Känel
Publisher: American Mathematical Society
ISBN: 1470464160
Category : Mathematics
Languages : en
Pages : 154
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Author: Rafael von Känel
Publisher: American Mathematical Society
ISBN: 1470464160
Category : Mathematics
Languages : en
Pages : 154
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Book Description
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Author: Jennifer S. Balakrishnan
Publisher: Springer Nature
ISBN: 3030809145
Category : Mathematics
Languages : en
Pages : 587
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Book Description
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
ISBN: 1009050036
Category : Mathematics
Languages : en
Pages : 242
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Book Description
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
ISBN: 3110761114
Category : Mathematics
Languages : en
Pages : 112
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Book Description
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.
ISBN: 1470453274
Category : Education
Languages : en
Pages : 282
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Book Description
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
ISBN: 1470465485
Category : Mathematics
Languages : en
Pages : 114
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Author: David A. Craven
Publisher: American Mathematical Society
ISBN: 147046702X
Category : Mathematics
Languages : en
Pages : 226
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Author: Hiroshi Kihara
Publisher: American Mathematical Society
ISBN: 1470465426
Category : Mathematics
Languages : en
Pages : 144
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Author: Agelos Georgakopoulos
Publisher: American Mathematical Society
ISBN: 1470467054
Category : Mathematics
Languages : en
Pages : 114
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Author: Olivier Bernardi
Publisher: American Mathematical Society
ISBN: 1470466996
Category : Mathematics
Languages : en
Pages : 188
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