Lectures On The Theory Of Automorphic Functions

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Lectures On The Theory Of Automorphic Functions Fundamental Theorems Concerning The Existence Of Polymorphic Functions On Riemann Surfaces

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Author : Robert Fricke
language : en
Publisher:
Release Date : 2017

Lectures On The Theory Of Automorphic Functions Fundamental Theorems Concerning The Existence Of Polymorphic Functions On Riemann Surfaces written by Robert Fricke and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017 with Automorphic functions categories.

Lectures On The Theory Of Automorphic Functions

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Author : Robert Fricke
language : en
Publisher:
Release Date : 2017

Lectures On The Theory Of Automorphic Functions written by Robert Fricke and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017 with Automorphic functions categories.

Felix Klein's Erlangen program made the theory of group actions into a central part of mathematics. In the spirit of this program, Klein set out to write a series of books which unified different subjects of mathematics. These books contain original ideas, striking examples, explicit computations, and details which are not available anywhere else.

Lectures On The Theory Of Automorphic Functions

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Author : Robert Fricke
language : en
Publisher:
Release Date : 2017

Lectures On The Theory Of Automorphic Functions written by Robert Fricke and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017 with Automorphic functions categories.

Lectures On Automorphic L Functions

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Author : James W. Cogdell
language : en
Publisher: American Mathematical Soc.
Release Date :

Lectures On Automorphic L Functions written by James W. Cogdell 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 with Mathematics categories.

James W. Cogdell, Lectures on $L$-functions, converse theorems, and functoriality for $GL_n$: Preface Modular forms and their $L$-functions Automorphic forms Automorphic representations Fourier expansions and multiplicity one theorems Eulerian integral representations Local $L$-functions: The non-Archimedean case The unramified calculation Local $L$-functions: The Archimedean case Global $L$-functions Converse theorems Functoriality Functoriality for the classical groups Functoriality for the classical groups, II Henry H. Kim, Automorphic $L$-functions: Introduction Chevalley groups and their properties Cuspidal representations $L$-groups and automorphic $L$-functions Induced representations Eisenstein series and constant terms $L$-functions in the constant terms Meromorphic continuation of $L$-functions Generic representations and their Whittaker models Local coefficients and non-constant terms Local Langlands correspondence Local $L$-functions and functional equations Normalization of intertwining operators Holomorphy and bounded in vertical strips Langlands functoriality conjecture Converse theorem of Cogdell and Piatetski-Shapiro Functoriality of the symmetric cube Functoriality of the symmetric fourth Bibliography M. Ram Murty, Applications of symmetric power $L$-functions: Preface The Sato-Tate conjecture Maass wave forms The Rankin-Selberg method Oscillations of Fourier coefficients of cusp forms Poincare series Kloosterman sums and Selberg's conjecture Refined estimates for Fourier coefficients of cusp forms Twisting and averaging of $L$-series The Kim-Sarnak theorem Introduction to Artin $L$-functions Zeros and poles of Artin $L$-functions The Langlands-Tunnell theorem Bibliography

Lectures On Automorphic L Functions

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Author : James M. Cogdell
language : en
Publisher: Providence, R.I. : American Mathematical Society
Release Date : 2004

Lectures On Automorphic L Functions written by James M. Cogdell and has been published by Providence, R.I. : American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Automorphic functions categories.

A series of lectures from a spring 2003 graduate course at the Fields Institute introduce Langlands functoriality conjecture and its consequences in number theory and representation theory, focusing on how automorphic L-functions play a crucial role in the theory. They cover converse theorems and functionality for GL(n), automorphic L-functions, and applications of symmetric power L-functions. They are not indexed. Annotation : 2004 Book News, Inc., Portland, OR (booknews.com).

Introduction To The Arithmetic Theory Of Automorphic Functions

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Author :
language : en
Publisher:
Release Date : 1971

Introduction To The Arithmetic Theory Of Automorphic Functions written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1971 with categories.

An Introduction To The Theory Of Automorphic Functions Classic Reprint

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Author : Lester R. Ford
language : en
Publisher: Forgotten Books
Release Date : 2017-11-27

An Introduction To The Theory Of Automorphic Functions Classic Reprint written by Lester R. Ford and has been published by Forgotten Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-11-27 with Mathematics categories.

Excerpt from An Introduction to the Theory of Automorphic Functions Owing largely to the researches of Poincare and Klein the domain of Automorphic Functions has expanded enormously during the last thirty-five years; and the ramifications of the subject have extended into many and diverse fields. This has caused embarrassment in the selection of materials for a book of modest dimensions, and has necessitated a brief treatment, or in some cases the exclusion, of many important and attractive subjects. The aim throughout has been to present in as thorough a manner as possible the concepts and theorems on which the theory is founded, and to describe in less detail certain of its important developments. The present tract had its origin in a series of lectures on Automorphic Functions given to the Mathematical Research Class of the University of Edinburgh during the Spring Term of 1915. I wish to express a grateful acknowledgment of my indebtedness to Professor Whittaker, who has read the manuscript during the course of its preparation, and has made many valuable suggestions; and to Mr Herbert Bell, who has assisted in the preparation of the Bibliography. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

An Introduction To The Theory Of Automorphic Functions

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Author : Lester R. Ford
language : en
Publisher: Forgotten Books
Release Date : 2015-06-17

An Introduction To The Theory Of Automorphic Functions written by Lester R. Ford and has been published by Forgotten Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-06-17 with Mathematics categories.

Excerpt from An Introduction to the Theory of Automorphic Functions Owing largely to the researches of Poincare and Klein the domain of Automorphic Functions has expanded enormously during the last thirty-five years; and the ramifications of the subject have extended into many and diverse fields. This has caused embarrassment in the selection of materials for a book of modest dimensions, and has necessitated a brief treatment, or in some cases the exclusion, of many important and attractive subjects. The aim throughout has been to present in as thorough a manner as possible the concepts and theorems on which the theory is founded, and to describe in less detail certain of its important developments. The present tract had its origin in a series of lectures on Automorphic Functions given to the Mathematical Research Class of the University of Edinburgh during the Spring Term of 1915. I wish to express a grateful acknowledgment of my indebtedness to Professor Whittaker, who has read the manuscript during the course of its preparation, and has made many valuable suggestions; and to Mr Herbert Bell, who has assisted in the preparation of the Bibliography. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

Automorphic Forms And Applications

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Author : Peter Sarnak
language : en
Publisher: American Mathematical Soc.
Release Date : 2007

Automorphic Forms And Applications written by Peter Sarnak 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 2007 with Mathematics categories.

The theory of automorphic forms has seen dramatic developments in recent years. in particular, important instances of Langlands functoriality have been established. This volume presents three weeks of lectures from the IAS/Park City Mathematics Institute Summer School on automorphic forms and their applications. It addresses some of the general aspects of automorphic forms, as well as certain recent advances in the field. The book starts with the lectures of Borel on the basic theory of automorphic forms, which lay the foundation for the lectures by Cogdell and Shahidi on converse theorems and the Langlands-Shahidi method, as well as those by Clozel and Li on the Ramanujan conjectures and graphs. The analytic theory of GL(2)-forms and $L$-functions are the subject of Michel's lectures, while Terras covers arithmetic quantum chaos. The volume also includes a chapter by Vogan on isolated unitary representations, which is related to the lectures by Clozel. This volume is recommended for independent study or an advanced topics course. It is suitable for graduate students and researchers interested in automorphic forms and number theory. Information for our distributors: Titles in this series are co-published with the Institute for Advanced Study/Park City Mathematics Institute. Members of the Mathematical Association of America (MAA) and the National Council of Teachers of Mathematics (NCTM) receive a 20% discount from list price.

Introductory Lectures On Automorphic Forms

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Author : Walter L. Baily Jr.
language : en
Publisher: Princeton University Press
Release Date : 2015-03-08

Introductory Lectures On Automorphic Forms written by Walter L. Baily Jr. and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-03-08 with Mathematics categories.

Intended as an introductory guide, this work takes for its subject complex, analytic, automorphic forms and functions on (a domain equivalent to) a bounded domain in a finite-dimensional, complex, vector space, usually denoted Cn). Part I, essentially elementary, deals with complex analytic automorphic forms on a bounded domain; it presents H. Cartan's proof of the existence of the projective imbedding of the compact quotient of such a domain by a discrete group. Part II treats the construction and properties of automorphic forms with respect to an arithmetic group acting on a bounded symmetric domain; this part is highly technical, and based largely on relevant results in functional analysis due to Godement and Harish-Chandra. In Part III, Professor Baily extends the discussion to include some special topics, specifically, the arithmetic propertics of Eisenstein series and their connection with the arithmetic theory of quadratic forms. Unlike classical works on the subject, this book deals with more than one variable, and it differs notably in its treatment of analysis on the group of automorphisms of the domain. It is concerned with the case of complex analytic automorphic forms because of their connection with algebraic geometry, and so is distinct from other modern treatises that deal with automorphic forms on a semi-simple Lie group. Having had its inception as graduate- level lectures, the book assumes some knowledge of complex function theory and algebra, for the serious reader is expected to supply certain details for himself, especially in such related areas as functional analysis and algebraic groups. Originally published in 1973. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.