Special Values Of Dirichlet Series Monodromy And The Periods Of Automorphic Forms
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Special Values Of Dirichlet Series Monodromy And The Periods Of Automorphic Forms
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Author : Peter Stiller
language : en
Publisher:
Release Date : 1984
Special Values Of Dirichlet Series Monodromy And The Periods Of Automorphic Forms written by Peter Stiller and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984 with Automorphic forms categories.
Special Values Of Dirichlet Series Monodromy And The Periods Of Automorphic Forms
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Author : Peter Stiller
language : en
Publisher: American Mathematical Soc.
Release Date : 1984
Special Values Of Dirichlet Series Monodromy And The Periods Of Automorphic Forms written by Peter Stiller and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984 with Mathematics categories.
In this paper we explore a relationship that exists between the classical cusp form for subgroups of finite index in [italic]SL2([double-struck capital]Z) and certain differential equations, and we develop a connection between the equation's monodromy representation and the special values in the critical strip of the Dirichlet series associated to the cusp form.
Special Values Of Dirichlet Series Monodromy And The Periods Of Automorphic Forms
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Author : George E. Andrews
language : en
Publisher:
Release Date : 1984
Special Values Of Dirichlet Series Monodromy And The Periods Of Automorphic Forms written by George E. Andrews and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984 with Automorphic forms categories.
Mixed Automorphic Forms Torus Bundles And Jacobi Forms
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Author : Min Ho Lee
language : en
Publisher: Springer
Release Date : 2004-04-30
Mixed Automorphic Forms Torus Bundles And Jacobi Forms written by Min Ho Lee and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-04-30 with Mathematics categories.
This volume deals with various topics around equivariant holomorphic maps of Hermitian symmetric domains and is intended for specialists in number theory and algebraic geometry. In particular, it contains a comprehensive exposition of mixed automorphic forms that has never yet appeared in book form. The main goal is to explore connections among complex torus bundles, mixed automorphic forms, and Jacobi forms associated to an equivariant holomorphic map. Both number-theoretic and algebro-geometric aspects of such connections and related topics are discussed.
Transcendental Numbers
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Author : M. Ram Murty
language : en
Publisher: Springer
Release Date : 2014-06-24
Transcendental Numbers written by M. Ram Murty and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-06-24 with Mathematics categories.
This book provides an introduction to the topic of transcendental numbers for upper-level undergraduate and graduate students. The text is constructed to support a full course on the subject, including descriptions of both relevant theorems and their applications. While the first part of the book focuses on introducing key concepts, the second part presents more complex material, including applications of Baker’s theorem, Schanuel’s conjecture, and Schneider’s theorem. These later chapters may be of interest to researchers interested in examining the relationship between transcendence and L-functions. Readers of this text should possess basic knowledge of complex analysis and elementary algebraic number theory.
Transcendence In Algebra Combinatorics Geometry And Number Theory
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Author : Alin Bostan
language : en
Publisher: Springer Nature
Release Date : 2021-11-02
Transcendence In Algebra Combinatorics Geometry And Number Theory written by Alin Bostan and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-11-02 with Mathematics categories.
This proceedings volume gathers together original articles and survey works that originate from presentations given at the conference Transient Transcendence in Transylvania, held in Brașov, Romania, from May 13th to 17th, 2019. The conference gathered international experts from various fields of mathematics and computer science, with diverse interests and viewpoints on transcendence. The covered topics are related to algebraic and transcendental aspects of special functions and special numbers arising in algebra, combinatorics, geometry and number theory. Besides contributions on key topics from invited speakers, this volume also brings selected papers from attendees.
Automorphic Forms And The Picard Number Of An Elliptic Surface
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Author : Peter F. Stiller
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17
Automorphic Forms And The Picard Number Of An Elliptic Surface written by Peter F. Stiller and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-17 with Technology & Engineering categories.
In studying an algebraic surface E, which we assume is non-singular and projective over the field of complex numbers t, it is natural to study the curves on this surface. In order to do this one introduces various equivalence relations on the group of divisors (cycles of codimension one). One such relation is algebraic equivalence and we denote by NS(E) the group of divisors modulo algebraic equivalence which is called the N~ron-Severi group of the surface E. This is known to be a finitely generated abelian group which can be regarded naturally as a subgroup of 2 H (E,Z). The rank of NS(E) will be denoted p and is known as the Picard number of E. 2 Every divisor determines a cohomology class in H(E,E) which is of I type (1,1), that is to say a class in H(E,9!) which can be viewed as a 2 subspace of H(E,E) via the Hodge decomposition. The Hodge Conjecture asserts in general that every rational cohomology class of type (p,p) is algebraic. In our case this is the Lefschetz Theorem on (I,l)-classes: Every cohomology class 2 2 is the class associated to some divisor. Here we are writing H (E,Z) for 2 its image under the natural mapping into H (E,t). Thus NS(E) modulo 2 torsion is Hl(E,n!) n H(E,Z) and th 1 b i f h -~ p measures e a ge ra c part 0 t e cohomology.
Jacobi Like Forms Pseudodifferential Operators And Quasimodular Forms
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Author : YoungJu Choie
language : en
Publisher: Springer Nature
Release Date : 2019-11-20
Jacobi Like Forms Pseudodifferential Operators And Quasimodular Forms written by YoungJu Choie and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-11-20 with Mathematics categories.
This book explores various properties of quasimodular forms, especially their connections with Jacobi-like forms and automorphic pseudodifferential operators. The material that is essential to the subject is presented in sufficient detail, including necessary background on pseudodifferential operators, Lie algebras, etc., to make it accessible also to non-specialists. The book also covers a sufficiently broad range of illustrations of how the main themes of the book have occurred in various parts of mathematics to make it attractive to a wider audience. The book is intended for researchers and graduate students in number theory.
Mathematical Reviews
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Author :
language : en
Publisher:
Release Date : 2004
Mathematical Reviews written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Mathematics categories.
Notices Of The American Mathematical Society
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Author : American Mathematical Society
language : en
Publisher:
Release Date : 1987
Notices Of The American Mathematical Society written by American Mathematical Society and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with Mathematics categories.