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

Automorphic Representations and L-Functions for the General Linear Group:
Author: Dorian Goldfeld
Publisher: Cambridge University Press
Total Pages: 210
Release: 2011-04-21
Genre: Mathematics
ISBN: 9781107007994

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: Volume 2

Automorphic Representations and L-Functions for the General Linear Group: Volume 2
Author: Dorian Goldfeld
Publisher: Cambridge University Press
Total Pages: 209
Release: 2011-04-21
Genre: Mathematics
ISBN: 1139503081

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:
Author: Dorian Goldfeld
Publisher: Cambridge University Press
Total Pages: 572
Release: 2011-04-21
Genre: Mathematics
ISBN: 9780521474238

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 Forms, Representations and $L$-Functions

Automorphic Forms, Representations and $L$-Functions
Author: Armand Borel
Publisher: American Mathematical Soc.
Total Pages: 394
Release: 1979-06-30
Genre: Mathematics
ISBN: 0821814370

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

Topics in Classical Automorphic Forms

Topics in Classical Automorphic Forms
Author: Henryk Iwaniec
Publisher: American Mathematical Soc.
Total Pages: 274
Release: 1997
Genre: Mathematics
ISBN: 0821807773

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

The Genesis of the Langlands Program

The Genesis of the Langlands Program
Author: Julia Mueller
Publisher: Cambridge University Press
Total Pages: 451
Release: 2021-08-05
Genre: Mathematics
ISBN: 1108710948

A step-by-step guide to Langlands' early work leading up the Langlands Program for mathematicians and advanced students.