Solving $S$-Unit, Mordell, Thue, Thue–Mahler and Generalized Ramanujan–Nagell Equations via the Shimura–Taniyama Conjecture

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Publisher : American Mathematical Society
ISBN 13 : 1470464160
Total Pages : 154 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Solving $S$-Unit, Mordell, Thue, Thue–Mahler and Generalized Ramanujan–Nagell Equations via the Shimura–Taniyama Conjecture by : Rafael von Känel

Download or read book Solving $S$-Unit, Mordell, Thue, Thue–Mahler and Generalized Ramanujan–Nagell Equations via the Shimura–Taniyama Conjecture written by Rafael von Känel and published by American Mathematical Society. This book was released on 2023-06-22 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.

Arithmetic Geometry, Number Theory, and Computation

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Publisher : Springer Nature
ISBN 13 : 3030809145
Total Pages : 587 pages
Book Rating : 4.0/5 (38 download)

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Book Synopsis Arithmetic Geometry, Number Theory, and Computation by : Jennifer S. Balakrishnan

Download or read book Arithmetic Geometry, Number Theory, and Computation written by Jennifer S. Balakrishnan and published by Springer Nature. This book was released on 2022-03-15 with total page 587 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

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Publisher : Cambridge University Press
ISBN 13 : 1009050036
Total Pages : 242 pages
Book Rating : 4.0/5 (9 download)

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Book Synopsis Effective Results and Methods for Diophantine Equations over Finitely Generated Domains by : Jan-Hendrik Evertse

Download or read book Effective Results and Methods for Diophantine Equations over Finitely Generated Domains written by Jan-Hendrik Evertse and published by Cambridge University Press. This book was released on 2022-04-28 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

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Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110761114
Total Pages : 112 pages
Book Rating : 4.1/5 (17 download)

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Book Synopsis Number Theory by : Kağan Kurşungöz

Download or read book Number Theory written by Kağan Kurşungöz and published by Walter de Gruyter GmbH & Co KG. This book was released on 2021-11-08 with total page 112 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Geometry at the Frontier: Symmetries and Moduli Spaces of Algebraic Varieties

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Publisher : American Mathematical Soc.
ISBN 13 : 1470453274
Total Pages : 282 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Geometry at the Frontier: Symmetries and Moduli Spaces of Algebraic Varieties by : Paola Comparin

Download or read book Geometry at the Frontier: Symmetries and Moduli Spaces of Algebraic Varieties written by Paola Comparin and published by American Mathematical Soc.. This book was released on 2021-04-23 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Nilspace Factors for General Uniformity Seminorms, Cubic Exchangeability and Limits

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Publisher : American Mathematical Society
ISBN 13 : 1470465485
Total Pages : 114 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Nilspace Factors for General Uniformity Seminorms, Cubic Exchangeability and Limits by : Pablo Candela

Download or read book Nilspace Factors for General Uniformity Seminorms, Cubic Exchangeability and Limits written by Pablo Candela and published by American Mathematical Society. This book was released on 2023-07-31 with total page 114 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.

On Medium-Rank Lie Primitive and Maximal Subgroups of Exceptional Groups of Lie Type

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Publisher : American Mathematical Society
ISBN 13 : 147046702X
Total Pages : 226 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis On Medium-Rank Lie Primitive and Maximal Subgroups of Exceptional Groups of Lie Type by : David A. Craven

Download or read book On Medium-Rank Lie Primitive and Maximal Subgroups of Exceptional Groups of Lie Type written by David A. Craven and published by American Mathematical Society. This book was released on 2023-09-15 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.

Smooth Homotopy of Infinite-Dimensional $C^{infty }$-Manifolds

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Publisher : American Mathematical Society
ISBN 13 : 1470465426
Total Pages : 144 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Smooth Homotopy of Infinite-Dimensional $C^{infty }$-Manifolds by : Hiroshi Kihara

Download or read book Smooth Homotopy of Infinite-Dimensional $C^{infty }$-Manifolds written by Hiroshi Kihara and published by American Mathematical Society. This book was released on 2023-09-27 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.

Analyticity Results in Bernoulli Percolation

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Publisher : American Mathematical Society
ISBN 13 : 1470467054
Total Pages : 114 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Analyticity Results in Bernoulli Percolation by : Agelos Georgakopoulos

Download or read book Analyticity Results in Bernoulli Percolation written by Agelos Georgakopoulos and published by American Mathematical Society. This book was released on 2023-09-15 with total page 114 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.

Percolation on Triangulations: A Bijective Path to Liouville Quantum Gravity

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Publisher : American Mathematical Society
ISBN 13 : 1470466996
Total Pages : 188 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Percolation on Triangulations: A Bijective Path to Liouville Quantum Gravity by : Olivier Bernardi

Download or read book Percolation on Triangulations: A Bijective Path to Liouville Quantum Gravity written by Olivier Bernardi and published by American Mathematical Society. This book was released on 2023-09-27 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.

Proper Equivariant Stable Homotopy Theory

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Publisher : American Mathematical Society
ISBN 13 : 1470467046
Total Pages : 154 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Proper Equivariant Stable Homotopy Theory by : Dieter Degrijse

Download or read book Proper Equivariant Stable Homotopy Theory written by Dieter Degrijse and published by American Mathematical Society. This book was released on 2023-09-15 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.

Purity and Separation for Oriented Matroids

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Publisher : American Mathematical Society
ISBN 13 : 1470467003
Total Pages : 92 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Purity and Separation for Oriented Matroids by : Pavel Galashin

Download or read book Purity and Separation for Oriented Matroids written by Pavel Galashin and published by American Mathematical Society. This book was released on 2023-09-27 with total page 92 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.

Tate Duality in Positive Dimension over Function Fields

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Publisher : American Mathematical Society
ISBN 13 : 1470467070
Total Pages : 230 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Tate Duality in Positive Dimension over Function Fields by : Zev Rosengarten

Download or read book Tate Duality in Positive Dimension over Function Fields written by Zev Rosengarten and published by American Mathematical Society. This book was released on 2023-11-27 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.

Potential Estimates and Quasilinear Parabolic Equations with Measure Data

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Publisher : American Mathematical Society
ISBN 13 : 1470467224
Total Pages : 136 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Potential Estimates and Quasilinear Parabolic Equations with Measure Data by : Quoc-Hung Nguyen

Download or read book Potential Estimates and Quasilinear Parabolic Equations with Measure Data written by Quoc-Hung Nguyen and published by American Mathematical Society. This book was released on 2024-01-19 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.

Local Smoothing Estimates for Schrödinger Equations on Hyperbolic Space

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Publisher : American Mathematical Society
ISBN 13 : 147046697X
Total Pages : 178 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Local Smoothing Estimates for Schrödinger Equations on Hyperbolic Space by : Andrew Lawrie

Download or read book Local Smoothing Estimates for Schrödinger Equations on Hyperbolic Space written by Andrew Lawrie and published by American Mathematical Society. This book was released on 2024-01-19 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.

Convexity of Singular Affine Structures and Toric-Focus Integrable Hamiltonian Systems

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Publisher : American Mathematical Society
ISBN 13 : 147046439X
Total Pages : 102 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Convexity of Singular Affine Structures and Toric-Focus Integrable Hamiltonian Systems by : Tudor S. Ratiu

Download or read book Convexity of Singular Affine Structures and Toric-Focus Integrable Hamiltonian Systems written by Tudor S. Ratiu and published by American Mathematical Society. This book was released on 2023-07-31 with total page 102 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.

Eigenfunctions of Transfer Operators and Automorphic Forms for Hecke Triangle Groups of Infinite Covolume

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Publisher : American Mathematical Society
ISBN 13 : 1470465450
Total Pages : 186 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Eigenfunctions of Transfer Operators and Automorphic Forms for Hecke Triangle Groups of Infinite Covolume by : Roelof Bruggeman

Download or read book Eigenfunctions of Transfer Operators and Automorphic Forms for Hecke Triangle Groups of Infinite Covolume written by Roelof Bruggeman and published by American Mathematical Society. This book was released on 2023-07-31 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.