HIGHER RAMANUJAN EQUATIONS AND PERIODS OF ABELIAN VARIETIES.

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ISBN 13 : 9781470473242
Total Pages : 0 pages
Book Rating : 4.4/5 (732 download)

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Book Synopsis HIGHER RAMANUJAN EQUATIONS AND PERIODS OF ABELIAN VARIETIES. by : TIAGO J. FONSECA

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Higher Ramanujan Equations and Periods of Abelian Varieties

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Publisher : American Mathematical Society
ISBN 13 : 147046019X
Total Pages : 158 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Higher Ramanujan Equations and Periods of Abelian Varieties by : Tiago J. Fonseca

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Sage for Undergraduates

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Publisher : American Mathematical Society
ISBN 13 : 1470461552
Total Pages : 158 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Sage for Undergraduates by : Gregory V. Bard

Download or read book Sage for Undergraduates written by Gregory V. Bard and published by American Mathematical Society. This book was released on 2022-09-26 with total page 158 pages. Available in PDF, EPUB and Kindle. Book excerpt: As the open-source and free alternative to expensive software like Maple™, Mathematica®, and MATLAB®, Sage offers anyone with a web browser the ability to use cutting-edge mathematical software and share the results with others, often with stunning graphics. This book is a gentle introduction to Sage for undergraduate students during Calculus II, Multivariate Calculus, Differential Equations, Linear Algebra, Math Modeling, or Operations Research. This book assumes no background in programming, but the reader who finishes the book will have learned about 60 percent of a first semester computer science course, including much of the Python programming language. The audience is not only math majors, but also physics, engineering, environmental science, finance, chemistry, economics, data science, and computer science majors. Many of the book's examples are drawn from those fields. Filled with “challenges” for the students to test their progress, the book is also ideal for self-study. What's New in the Second Edition: In 2019, Sage transitioned from Python 2 to Python 3, which changed the syntax in several significant ways, including for the print command. All the examples in this book have been rewritten to be compatible with Python 3. Moreover, every code block longer than four lines has been placed in an archive on the book's website http://www.sage-for-undergraduates.org that is maintained by the author, so that the students won't have to retype the code! Other additions include… The number of “challenges” for the students to test their own progress in learning Sage has roughly doubled, which will be a great boon for self-study.There's approximately 150 pages of new content, including: New projects on Leontief Input-Output Analysis and on Environmental ScienceNew sections on Complex Numbers and Complex Analysis, on SageTex, and on solving problems via Monte-Carlo Simulations.The first three sections of Chapter 1 have been completely rewritten to give absolute beginners a smoother transition into Sage.

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
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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

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Point-Counting and the Zilber–Pink Conjecture

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Publisher : Cambridge University Press
ISBN 13 : 1009301926
Total Pages : 268 pages
Book Rating : 4.0/5 (93 download)

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Book Synopsis Point-Counting and the Zilber–Pink Conjecture by : Jonathan Pila

Download or read book Point-Counting and the Zilber–Pink Conjecture written by Jonathan Pila and published by Cambridge University Press. This book was released on 2022-06-09 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: Point-counting results for sets in real Euclidean space have found remarkable applications to diophantine geometry, enabling significant progress on the André–Oort and Zilber–Pink conjectures. The results combine ideas close to transcendence theory with the strong tameness properties of sets that are definable in an o-minimal structure, and thus the material treated connects ideas in model theory, transcendence theory, and arithmetic. This book describes the counting results and their applications along with their model-theoretic and transcendence connections. Core results are presented in detail to demonstrate the flexibility of the method, while wider developments are described in order to illustrate the breadth of the diophantine conjectures and to highlight key arithmetical ingredients. The underlying ideas are elementary and most of the book can be read with only a basic familiarity with number theory and complex algebraic geometry. It serves as an introduction for postgraduate students and researchers to the main ideas, results, problems, and themes of current research in this area.

McShane Identities for Higher Teichmüller Theory and the Goncharov–Shen Potential

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Publisher : American Mathematical Society
ISBN 13 : 1470463121
Total Pages : 128 pages
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Book Synopsis McShane Identities for Higher Teichmüller Theory and the Goncharov–Shen Potential by : Yi Huang

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Multiplicity and Stability of the Pohozaev Obstruction for Hardy-Schrödinger Equations with Boundary Singularity

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Publisher : American Mathematical Society
ISBN 13 : 1470461196
Total Pages : 138 pages
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Book Synopsis Multiplicity and Stability of the Pohozaev Obstruction for Hardy-Schrödinger Equations with Boundary Singularity by : Nassif Ghoussoub

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Infinite Time Blow-Up Solutions to the Energy Critical Wave Maps Equation

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Publisher : American Mathematical Society
ISBN 13 : 1470459930
Total Pages : 254 pages
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Book Synopsis Infinite Time Blow-Up Solutions to the Energy Critical Wave Maps Equation by : Mohandas Pillai

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Construction of Blowup Solutions for the Complex Ginzburg-Landau Equation with Critical Parameters

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Publisher : American Mathematical Society
ISBN 13 : 1470461218
Total Pages : 104 pages
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Book Synopsis Construction of Blowup Solutions for the Complex Ginzburg-Landau Equation with Critical Parameters by : Giao Ky Duong

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Modular And Automorphic Forms & Beyond

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Publisher : World Scientific
ISBN 13 : 9811238693
Total Pages : 323 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Modular And Automorphic Forms & Beyond by : Hossein Movasati

Download or read book Modular And Automorphic Forms & Beyond written by Hossein Movasati and published by World Scientific. This book was released on 2021-10-12 with total page 323 pages. Available in PDF, EPUB and Kindle. Book excerpt: The guiding principle in this monograph is to develop a new theory of modular forms which encompasses most of the available theory of modular forms in the literature, such as those for congruence groups, Siegel and Hilbert modular forms, many types of automorphic forms on Hermitian symmetric domains, Calabi-Yau modular forms, with its examples such as Yukawa couplings and topological string partition functions, and even go beyond all these cases. Its main ingredient is the so-called 'Gauss-Manin connection in disguise'.

Planar Algebras in Braided Tensor Categories

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Publisher : American Mathematical Society
ISBN 13 : 1470455404
Total Pages : 100 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Planar Algebras in Braided Tensor Categories by : André Gil Henriques

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Spectral Properties of Ruelle Transfer Operators for Regular Gibbs Measures and Decay of Correlations for Contact Anosov Flows

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Publisher : American Mathematical Society
ISBN 13 : 1470456257
Total Pages : 134 pages
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Book Synopsis Spectral Properties of Ruelle Transfer Operators for Regular Gibbs Measures and Decay of Correlations for Contact Anosov Flows by : Luchezar Stoyanov

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Weight Multiplicities and Young Tableaux Through Affine Crystals

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Publisher : American Mathematical Society
ISBN 13 : 1470459949
Total Pages : 100 pages
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Book Synopsis Weight Multiplicities and Young Tableaux Through Affine Crystals by : Jang Soo Kim

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On Singular Vortex Patches, I: Well-Posedness Issues

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Publisher : American Mathematical Society
ISBN 13 : 1470456826
Total Pages : 102 pages
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Book Synopsis On Singular Vortex Patches, I: Well-Posedness Issues by : Tarek M. Elgindi

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Local Coefficients and Gamma Factors for Principal Series of Covering Groups

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Publisher : American Mathematical Society
ISBN 13 : 1470456818
Total Pages : 148 pages
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Book Synopsis Local Coefficients and Gamma Factors for Principal Series of Covering Groups by : Fan Gao

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Dynamics of the Box-Ball System with Random Initial Conditions via Pitman’s Transformation

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Publisher : American Mathematical Society
ISBN 13 : 1470456338
Total Pages : 114 pages
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Book Synopsis Dynamics of the Box-Ball System with Random Initial Conditions via Pitman’s Transformation by : David A. Croydon

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Multiplicative Invariant Fields of Dimension $leq 6$

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Publisher : American Mathematical Society
ISBN 13 : 147046022X
Total Pages : 150 pages
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Book Synopsis Multiplicative Invariant Fields of Dimension $leq 6$ by : Akinari Hoshi

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