Download or read book Special Values of Dirichlet Series Monodromy and the Periods of Automorphic Forms written by Peter Stiller and published by . This book was released on 1984 with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Special Values of Dirichlet Series Monodromy and the Periods of Automorphic Forms written by George E. Andrews and published by . This book was released on 1984 with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Special Values of Dirichlet Series Monodromy and the Periods of Automorphic Forms written by Peter Stiller and published by American Mathematical Soc.. This book was released on 1984 with total page 123 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Mixed Automorphic Forms Torus Bundles and Jacobi Forms written by Min Ho Lee and published by Springer. This book was released on 2004-04-30 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Jacobi Like Forms Pseudodifferential Operators and Quasimodular Forms written by YoungJu Choie and published by Springer Nature. This book was released on 2019-11-20 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Transcendental Numbers written by M. Ram Murty and published by Springer. This book was released on 2014-06-24 with total page 219 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Transcendence in Algebra Combinatorics Geometry and Number Theory written by Alin Bostan and published by Springer Nature. This book was released on 2021-11-02 with total page 544 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Automorphic Forms and the Picard Number of an Elliptic Surface written by Peter F. Stiller and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 201 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Mathematical Reviews written by and published by . This book was released on 2004 with total page 1770 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Notices of the American Mathematical Society written by American Mathematical Society and published by . This book was released on 1987 with total page 1410 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Acta Arithmetica written by and published by . This book was released on 2003 with total page 868 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Multiple Zeta Functions Multiple Polylogarithms and Their Special Values written by Jianqiang Zhao and published by World Scientific. This book was released on 2016-03-07 with total page 620 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first introductory book on multiple zeta functions and multiple polylogarithms which are the generalizations of the Riemann zeta function and the classical polylogarithms, respectively, to the multiple variable setting. It contains all the basic concepts and the important properties of these functions and their special values. This book is aimed at graduate students, mathematicians and physicists who are interested in this current active area of research. The book will provide a detailed and comprehensive introduction to these objects, their fascinating properties and interesting relations to other mathematical subjects, and various generalizations such as their q-analogs and their finite versions (by taking partial sums modulo suitable prime powers). Historical notes and exercises are provided at the end of each chapter. Contents:Multiple Zeta FunctionsMultiple Polylogarithms (MPLs)Multiple Zeta Values (MZVs)Drinfeld Associator and Single-Valued MZVsMultiple Zeta Value IdentitiesSymmetrized Multiple Zeta Values (SMZVs)Multiple Harmonic Sums (MHSs) and Alternating VersionFinite Multiple Zeta Values and Finite Euler Sumsq-Analogs of Multiple Harmonic (Star) Sums Readership: Advanced undergraduates and graduate students in mathematics, mathematicians interested in multiple zeta values. Key Features:For the first time, a detailed explanation of the theory of multiple zeta values is given in book form along with numerous illustrations in explicit examplesThe book provides for the first time a comprehensive introduction to multiple polylogarithms and their special values at roots of unity, from the basic definitions to the more advanced topics in current active researchThe book contains a few quite intriguing results relating the special values of multiple zeta functions and multiple polylogarithms to other branches of mathematics and physics, such as knot theory and the theory of motivesMany exercises contain supplementary materials which deepens the reader's understanding of the main text
Download or read book Reviews in Number Theory 1984 96 written by and published by . This book was released on 1997 with total page 1098 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Dirichlet Series and Automorphic Forms written by A. Weil and published by Springer. This book was released on 2006-11-15 with total page 170 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Catalogue Books and Journals in Advanced Mathematics written by American Mathematical Society and published by . This book was released on 1985 with total page 142 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Panamerican Mathematical Journal written by and published by . This book was released on 1994 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book CRM Proceedings Lecture Notes written by and published by . This book was released on 2001 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt:
