Automorphic Representations And L Functions For The General Linear Group Volume 1


Automorphic Representations And L Functions For The General Linear Group Volume 1
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Automorphic Representations And L Functions For The General Linear Group Volume 1


Automorphic Representations And L Functions For The General Linear Group Volume 1
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Author : Dorian Goldfeld
language : en
Publisher: Cambridge University Press
Release Date : 2011-04-21

Automorphic Representations And L Functions For The General Linear Group Volume 1 written by Dorian Goldfeld and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-04-21 with Mathematics categories.


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


Automorphic Representations And L Functions For The General Linear Group
DOWNLOAD

Author : Dorian Goldfeld
language : en
Publisher: Cambridge University Press
Release Date : 2011-04-21

Automorphic Representations And L Functions For The General Linear Group written by Dorian Goldfeld and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-04-21 with Mathematics categories.


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


Automorphic Representations And L Functions For The General Linear Group
DOWNLOAD

Author : D. Goldfeld
language : en
Publisher:
Release Date : 2011

Automorphic Representations And L Functions For The General Linear Group written by D. Goldfeld and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Automorphic forms categories.


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



Automorphic Representations And L Functions For The General Linear Group


Automorphic Representations And L Functions For The General Linear Group
DOWNLOAD

Author :
language : en
Publisher:
Release Date : 2011

Automorphic Representations And L Functions For The General Linear Group written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Automorphic forms categories.




Automorphic Representations And L Functions For The General Linear Group


Automorphic Representations And L Functions For The General Linear Group
DOWNLOAD

Author : Dorian Goldfeld
language : en
Publisher: Cambridge University Press
Release Date : 2011-04-21

Automorphic Representations And L Functions For The General Linear Group written by Dorian Goldfeld and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-04-21 with Mathematics categories.


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


Automorphic Representations And L Functions For The General Linear Group
DOWNLOAD

Author : D. Goldfeld
language : en
Publisher:
Release Date : 2011

Automorphic Representations And L Functions For The General Linear Group written by D. Goldfeld and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Automorphic forms categories.


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


Automorphic Representations And L Functions For The General Linear Group
DOWNLOAD

Author : D. Goldfeld
language : en
Publisher:
Release Date : 2011

Automorphic Representations And L Functions For The General Linear Group written by D. Goldfeld and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Automorphic forms categories.


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



Automorphic Forms On Gl 2


Automorphic Forms On Gl 2
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Author : H. Jacquet
language : en
Publisher: Springer
Release Date : 2006-11-15

Automorphic Forms On Gl 2 written by H. Jacquet and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-15 with Mathematics categories.




Automorphic Forms And L Functions For The Group Gl N R


Automorphic Forms And L Functions For The Group Gl N R
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Author : Dorian Goldfeld
language : en
Publisher: Cambridge University Press
Release Date : 2006-08-03

Automorphic Forms And L Functions For The Group Gl N R written by Dorian Goldfeld and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-08-03 with Mathematics categories.


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


Automorphic Forms Representations And L Functions
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Author : Armand Borel
language : en
Publisher: American Mathematical Soc.
Release Date : 1979-06-30

Automorphic Forms Representations And L Functions written by Armand Borel 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 1979-06-30 with Mathematics categories.


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