Automorphic Representations And L Functions For The General Linear Group Volume 2

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Automorphic Representations and L-Functions for the General Linear Group: Volume 1

Author : Dorian Goldfeld,Joseph Hundley
Publisher : Cambridge University Press
Page : 571 pages
File Size : 51,6 Mb
Release : 2011-04-21
Category : Mathematics
ISBN : 9781139500135

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Automorphic Representations and L-Functions for the General Linear Group: Volume 1 by Dorian Goldfeld,Joseph Hundley Pdf

This graduate-level textbook provides an elementary exposition of the theory of automorphic representations and L-functions for the general linear group in an adelic setting. Definitions are kept to a minimum and repeated when reintroduced so that the book is accessible from any entry point, and with no prior knowledge of representation theory. The book includes concrete examples of global and local representations of GL(n), and presents their associated L-functions. In Volume 1, the theory is developed from first principles for GL(1), then carefully extended to GL(2) with complete detailed proofs of key theorems. Several proofs are presented for the first time, including Jacquet's simple and elegant proof of the tensor product theorem. In Volume 2, the higher rank situation of GL(n) is given a detailed treatment. Containing numerous exercises by Xander Faber, this book will motivate students and researchers to begin working in this fertile field of research.

Automorphic Representations and L-Functions for the General Linear Group:

Author : Dorian Goldfeld,Joseph Hundley
Publisher : Cambridge University Press
Page : 210 pages
File Size : 42,5 Mb
Release : 2011-04-21
Category : Mathematics
ISBN : 1107007992

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Automorphic Representations and L-Functions for the General Linear Group: by Dorian Goldfeld,Joseph Hundley Pdf

This graduate-level textbook provides an elementary exposition of the theory of automorphic representations and L-functions for the general linear group in an adelic setting. Definitions are kept to a minimum and repeated when reintroduced so that the book is accessible from any entry point, and with no prior knowledge of representation theory. The book includes concrete examples of global and local representations of GL(n), and presents their associated L-functions. In Volume 1, the theory is developed from first principles for GL(1), then carefully extended to GL(2) with complete detailed proofs of key theorems. Several proofs are presented for the first time, including Jacquet's simple and elegant proof of the tensor product theorem. In Volume 2, the higher rank situation of GL(n) is given a detailed treatment. Containing numerous exercises, this book will motivate students and researchers to begin working in this fertile field of research.

Automorphic Representations and L-functions for the General Linear Group

Author : D. Goldfeld,Joseph Hundley
Publisher : Unknown
Page : 188 pages
File Size : 40,9 Mb
Release : 2011
Category : Automorphic forms
ISBN : 1107471303

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Automorphic Representations and L-functions for the General Linear Group by D. Goldfeld,Joseph Hundley Pdf

This graduate-level textbook provides an elementary exposition of the theory of automorphic representations and L-functions for the general linear group in an adelic setting. Definitions are kept to a minimum and repeated when reintroduced so that the book is accessible from any entry point, and with no prior knowledge of representation theory. The book includes concrete examples of global and local representations of GL(n), and presents their associated L-functions. In Volume 1, the theory is developed from first principles for GL(1), then carefully extended to GL(2) with complete detailed proofs of key theorems. Several proofs are presented for the first time, including Jacquet's simple and elegant proof of the tensor product theorem. In Volume 2, the higher rank situation of GL(n) is given a detailed treatment. Containing numerous exercises by Xander Faber, this book will motivate students and researchers to begin working in this fertile field of research.

Automorphic Representations and L-functions for the General Linear Group

Author : D. Goldfeld
Publisher : Unknown
Page : 188 pages
File Size : 50,9 Mb
Release : 2011
Category : Automorphic forms
ISBN : 1139070851

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Automorphic Representations and L-functions for the General Linear Group by D. Goldfeld Pdf

This modern, graduate-level textbook does not assume prior knowledge of representation theory. Includes numerous concrete examples and exercises.

Automorphic Representations and L-Functions for the General Linear Group:

Author : Dorian Goldfeld,Joseph Hundley
Publisher : Cambridge University Press
Page : 572 pages
File Size : 51,6 Mb
Release : 2011-04-21
Category : Mathematics
ISBN : 052147423X

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Automorphic Representations and L-Functions for the General Linear Group: by Dorian Goldfeld,Joseph Hundley Pdf

This graduate-level textbook provides an elementary exposition of the theory of automorphic representations and L-functions for the general linear group in an adelic setting. The authors keep definitions to a minimum and repeat them when reintroduced so that the book is accessible from any entry point, and with no prior knowledge of representation theory. They also include concrete examples of both global and local representations of GL(n), and present their associated L-functions. The theory is developed from first principles for GL(1), then carefully extended to GL(2) with complete detailed proofs of key theorems. Several of the proofs are here presented for the first time, including Jacquet's simple and elegant proof of the tensor product theorem. Finally, the higher rank situation of GL(n) is given a detailed treatment. Containing numerous exercises, this book will motivate students and researchers to begin working in this fertile field of research.

Automorphic Representations and L-Functions for the General Linear Group: Volume 2

Author : Dorian Goldfeld,Joseph Hundley
Publisher : Cambridge University Press
Page : 209 pages
File Size : 40,7 Mb
Release : 2011-04-21
Category : Mathematics
ISBN : 9781139503082

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Automorphic Representations and L-Functions for the General Linear Group: Volume 2 by Dorian Goldfeld,Joseph Hundley Pdf

This graduate-level textbook provides an elementary exposition of the theory of automorphic representations and L-functions for the general linear group in an adelic setting. Definitions are kept to a minimum and repeated when reintroduced so that the book is accessible from any entry point, and with no prior knowledge of representation theory. The book includes concrete examples of global and local representations of GL(n), and presents their associated L-functions. In Volume 1, the theory is developed from first principles for GL(1), then carefully extended to GL(2) with complete detailed proofs of key theorems. Several proofs are presented for the first time, including Jacquet's simple and elegant proof of the tensor product theorem. In Volume 2, the higher rank situation of GL(n) is given a detailed treatment. Containing numerous exercises by Xander Faber, this book will motivate students and researchers to begin working in this fertile field of research.

Automorphic Representations and L-functions for the General Linear Group

Author : D. Goldfeld
Publisher : Unknown
Page : 550 pages
File Size : 52,5 Mb
Release : 2011
Category : Automorphic forms
ISBN : 1139069276

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Automorphic Representations and L-functions for the General Linear Group by D. Goldfeld Pdf

This modern, graduate-level textbook does not assume prior knowledge of representation theory. Includes numerous concrete examples and over 250 exercises.

Automorphic Forms on GL (2)

Author : H. Jacquet
Publisher : Springer
Page : 156 pages
File Size : 44,7 Mb
Release : 2006-11-15
Category : Mathematics
ISBN : 9783540376125

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Automorphic Forms on GL (2) by H. Jacquet Pdf

Automorphic Forms and L-Functions for the Group GL(n,R)

Author : Dorian Goldfeld
Publisher : Cambridge University Press
Page : 65 pages
File Size : 46,8 Mb
Release : 2006-08-03
Category : Mathematics
ISBN : 9781139456203

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Automorphic Forms and L-Functions for the Group GL(n,R) by Dorian Goldfeld Pdf

L-functions associated to automorphic forms encode all classical number theoretic information. They are akin to elementary particles in physics. This book provides an entirely self-contained introduction to the theory of L-functions in a style accessible to graduate students with a basic knowledge of classical analysis, complex variable theory, and algebra. Also within the volume are many new results not yet found in the literature. The exposition provides complete detailed proofs of results in an easy-to-read format using many examples and without the need to know and remember many complex definitions. The main themes of the book are first worked out for GL(2,R) and GL(3,R), and then for the general case of GL(n,R). In an appendix to the book, a set of Mathematica functions is presented, designed to allow the reader to explore the theory from a computational point of view.

Automorphic Forms, Representations and $L$-Functions

Author : Armand Borel,W. Casselman,American Mathematical Society
Publisher : American Mathematical Soc.
Page : 394 pages
File Size : 46,9 Mb
Release : 1979-06-30
Category : Mathematics
ISBN : 9780821814376

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Automorphic Forms, Representations and $L$-Functions by Armand Borel,W. Casselman,American Mathematical Society Pdf

Part 2 contains sections on Automorphic representations and $L$-functions, Arithmetical algebraic geometry and $L$-functions

Analytic Properties of Automorphic L-Functions

Author : Stephen Gelbart,Freydoon Shahidi
Publisher : Academic Press
Page : 142 pages
File Size : 41,6 Mb
Release : 2014-07-14
Category : Mathematics
ISBN : 9781483261034

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Analytic Properties of Automorphic L-Functions by Stephen Gelbart,Freydoon Shahidi Pdf

Analytic Properties of Automorphic L-Functions is a three-chapter text that covers considerable research works on the automorphic L-functions attached by Langlands to reductive algebraic groups. Chapter I focuses on the analysis of Jacquet-Langlands methods and the Einstein series and Langlands’ so-called “Euler products . This chapter explains how local and global zeta-integrals are used to prove the analytic continuation and functional equations of the automorphic L-functions attached to GL(2). Chapter II deals with the developments and refinements of the zeta-inetgrals for GL(n). Chapter III describes the results for the L-functions L (s, ?, r), which are considered in the constant terms of Einstein series for some quasisplit reductive group. This book will be of value to undergraduate and graduate mathematics students.

Zeta Functions of Simple Algebras

Author : Roger Godement,Herve Jacquet
Publisher : Springer
Page : 200 pages
File Size : 48,6 Mb
Release : 2006-11-14
Category : Mathematics
ISBN : 9783540374367

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Zeta Functions of Simple Algebras by Roger Godement,Herve Jacquet Pdf

Automorphic Forms and L-Functions for the Group GL(n,R)

Author : Dorian Goldfeld
Publisher : Cambridge University Press
Page : 508 pages
File Size : 52,6 Mb
Release : 2006-08-03
Category : Mathematics
ISBN : 0521837715

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Automorphic Forms and L-Functions for the Group GL(n,R) by Dorian Goldfeld Pdf

L-functions associated to automorphic forms encode all classical number theoretic information. They are akin to elementary particles in physics. This 2006 book provides an entirely self-contained introduction to the theory of L-functions in a style accessible to graduate students with a basic knowledge of classical analysis, complex variable theory, and algebra. Also within the volume are many new results not yet found in the literature. The exposition provides complete detailed proofs of results in an easy-to-read format using many examples and without the need to know and remember many complex definitions. The main themes of the book are first worked out for GL(2,R) and GL(3,R), and then for the general case of GL(n,R). In an appendix to the book, a set of Mathematica functions is presented, designed to allow the reader to explore the theory from a computational point of view.