Automorphic Representations And L Functions For The General Linear Group Volume 1
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Author |
: Dorian Goldfeld |
Publisher |
: Cambridge University Press |
Total Pages |
: 571 |
Release |
: 2011-04-21 |
ISBN-10 |
: 9781139500135 |
ISBN-13 |
: 1139500139 |
Rating |
: 4/5 (35 Downloads) |
Synopsis Automorphic Representations and L-Functions for the General Linear Group: Volume 1 by : Dorian Goldfeld
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.
Author |
: Dorian Goldfeld |
Publisher |
: Cambridge University Press |
Total Pages |
: 572 |
Release |
: 2011-04-21 |
ISBN-10 |
: 052147423X |
ISBN-13 |
: 9780521474238 |
Rating |
: 4/5 (3X Downloads) |
Synopsis Automorphic Representations and L-Functions for the General Linear Group: by : Dorian Goldfeld
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.
Author |
: Dorian Goldfeld |
Publisher |
: Cambridge University Press |
Total Pages |
: 210 |
Release |
: 2011-04-21 |
ISBN-10 |
: 1107007992 |
ISBN-13 |
: 9781107007994 |
Rating |
: 4/5 (92 Downloads) |
Synopsis Automorphic Representations and L-Functions for the General Linear Group: by : Dorian Goldfeld
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.
Author |
: D. Goldfeld |
Publisher |
: |
Total Pages |
: 550 |
Release |
: 2011 |
ISBN-10 |
: 1139069276 |
ISBN-13 |
: 9781139069274 |
Rating |
: 4/5 (76 Downloads) |
Synopsis Automorphic Representations and L-functions for the General Linear Group by : D. Goldfeld
This modern, graduate-level textbook does not assume prior knowledge of representation theory. Includes numerous concrete examples and over 250 exercises.
Author |
: |
Publisher |
: |
Total Pages |
: |
Release |
: 2011 |
ISBN-10 |
: OCLC:780534844 |
ISBN-13 |
: |
Rating |
: 4/5 (44 Downloads) |
Synopsis Automorphic Representations and L-functions for the General Linear Group by :
Author |
: D. Goldfeld |
Publisher |
: |
Total Pages |
: 188 |
Release |
: 2011 |
ISBN-10 |
: 1107471303 |
ISBN-13 |
: 9781107471306 |
Rating |
: 4/5 (03 Downloads) |
Synopsis Automorphic Representations and L-functions for the General Linear Group by : D. Goldfeld
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.
Author |
: H. Jacquet |
Publisher |
: Springer |
Total Pages |
: 156 |
Release |
: 2006-11-15 |
ISBN-10 |
: 9783540376125 |
ISBN-13 |
: 3540376127 |
Rating |
: 4/5 (25 Downloads) |
Synopsis Automorphic Forms on GL (2) by : H. Jacquet
Author |
: Armand Borel |
Publisher |
: American Mathematical Soc. |
Total Pages |
: 394 |
Release |
: 1979-06-30 |
ISBN-10 |
: 9780821814376 |
ISBN-13 |
: 0821814370 |
Rating |
: 4/5 (76 Downloads) |
Synopsis Automorphic Forms, Representations and $L$-Functions by : Armand Borel
Part 2 contains sections on Automorphic representations and $L$-functions, Arithmetical algebraic geometry and $L$-functions
Author |
: D. Goldfeld |
Publisher |
: |
Total Pages |
: 188 |
Release |
: 2011 |
ISBN-10 |
: 1139076574 |
ISBN-13 |
: 9781139076579 |
Rating |
: 4/5 (74 Downloads) |
Synopsis Automorphic Representations and L-functions for the General Linear Group by : D. Goldfeld
This modern, graduate-level textbook does not assume prior knowledge of representation theory. Includes numerous concrete examples and exercises.
Author |
: Henryk Iwaniec |
Publisher |
: American Mathematical Soc. |
Total Pages |
: 274 |
Release |
: 1997 |
ISBN-10 |
: 9780821807774 |
ISBN-13 |
: 0821807773 |
Rating |
: 4/5 (74 Downloads) |
Synopsis Topics in Classical Automorphic Forms by : Henryk Iwaniec
This volume discusses various perspectives of the theory of automorphic forms drawn from the author's notes from a Rutgers University graduate course. In addition to detailed and often nonstandard treatment of familiar theoretical topics, the author also gives special attention to such subjects as theta- functions and representatives by quadratic forms. Annotation copyrighted by Book News, Inc., Portland, OR