Author: Rafael von KänelPublisher: American Mathematical Society
ISBN: 1470464160
Category : Mathematics
Languages : en
Pages : 154
Book Description
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Solving $S$-Unit, Mordell, Thue, Thue–Mahler and Generalized Ramanujan–Nagell Equations via the Shimura–Taniyama Conjecture
Author: Rafael von KänelPublisher: American Mathematical Society
ISBN: 1470464160
Category : Mathematics
Languages : en
Pages : 154
Book Description
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Arithmetic Geometry, Number Theory, and Computation
Author: Jennifer S. BalakrishnanPublisher: Springer Nature
ISBN: 3030809145
Category : Mathematics
Languages : en
Pages : 587
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.
Effective Results and Methods for Diophantine Equations over Finitely Generated Domains
Author: Jan-Hendrik EvertsePublisher: Cambridge University Press
ISBN: 1009050036
Category : Mathematics
Languages : en
Pages : 242
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.
Number Theory
Author: Kağan KurşungözPublisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110761114
Category : Mathematics
Languages : en
Pages : 112
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.
Nilspace Factors for General Uniformity Seminorms, Cubic Exchangeability and Limits
Author: Pablo CandelaPublisher: American Mathematical Society
ISBN: 1470465485
Category : Mathematics
Languages : en
Pages : 114
Book Description
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Potential Estimates and Quasilinear Parabolic Equations with Measure Data
Author: Quoc-Hung NguyenPublisher: American Mathematical Society
ISBN: 1470467224
Category : Mathematics
Languages : en
Pages : 136
Book Description
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Local Smoothing Estimates for Schrödinger Equations on Hyperbolic Space
Author: Andrew LawriePublisher: American Mathematical Society
ISBN: 147046697X
Category : Mathematics
Languages : en
Pages : 178
Book Description
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On Medium-Rank Lie Primitive and Maximal Subgroups of Exceptional Groups of Lie Type
Author: David A. CravenPublisher: American Mathematical Society
ISBN: 147046702X
Category : Mathematics
Languages : en
Pages : 226
Book Description
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Smooth Homotopy of Infinite-Dimensional $C^{infty }$-Manifolds
Author: Hiroshi KiharaPublisher: American Mathematical Society
ISBN: 1470465426
Category : Mathematics
Languages : en
Pages : 144
Book Description
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Analyticity Results in Bernoulli Percolation
Author: Agelos GeorgakopoulosPublisher: American Mathematical Society
ISBN: 1470467054
Category : Mathematics
Languages : en
Pages : 114
Book Description
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