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

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

Author: Dorian Goldfeld

Publisher: Cambridge University Press

Published: 2006-08-03

Total Pages: 65

ISBN-13: 1139456202

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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.


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

Download or read book Automorphic Forms and L-Functions for the Group GL(n,R) written by Dorian Goldfeld and published by Cambridge University Press. This book was released on 2006-08-03 with total page 65 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 Representations and L-Functions for the General Linear Group: Volume 1

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

Author: Dorian Goldfeld

Publisher: Cambridge University Press

Published: 2011-04-21

Total Pages: 571

ISBN-13: 1139500139

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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.


Book Synopsis Automorphic Representations and L-Functions for the General Linear Group: Volume 1 by : Dorian Goldfeld

Download or read book Automorphic Representations and L-Functions for the General Linear Group: Volume 1 written by Dorian Goldfeld and published by Cambridge University Press. This book was released on 2011-04-21 with total page 571 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 Forms and L-functions for the Group GL(n, R)

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

Author: D. Goldfeld

Publisher:

Published: 2006

Total Pages: 493

ISBN-13: 9780511317057

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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 basic knowledge of classical analysis, complex variable theory, and algebra.


Book Synopsis Automorphic Forms and L-functions for the Group GL(n, R) by : D. Goldfeld

Download or read book Automorphic Forms and L-functions for the Group GL(n, R) written by D. Goldfeld and published by . This book was released on 2006 with total page 493 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 basic knowledge of classical analysis, complex variable theory, and algebra.

Automorphic Representations and L-functions for the General Linear Group

Automorphic Representations and L-functions for the General Linear Group

Author: D. Goldfeld

Publisher:

Published: 2011

Total Pages: 188

ISBN-13: 9781107471306

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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.


Book Synopsis Automorphic Representations and L-functions for the General Linear Group by : D. Goldfeld

Download or read book Automorphic Representations and L-functions for the General Linear Group written by D. Goldfeld and published by . This book was released on 2011 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Published: 2011-04-21

Total Pages: 210

ISBN-13: 9781107007994

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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.


Book Synopsis Automorphic Representations and L-Functions for the General Linear Group: by : Dorian Goldfeld

Download or read book Automorphic Representations and L-Functions for the General Linear Group: written by Dorian Goldfeld and published by Cambridge University Press. This book was released on 2011-04-21 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Author: D. Goldfeld

Publisher:

Published: 2011

Total Pages: 550

ISBN-13: 9781139069274

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


Book Synopsis Automorphic Representations and L-functions for the General Linear Group by : D. Goldfeld

Download or read book Automorphic Representations and L-functions for the General Linear Group written by D. Goldfeld and published by . This book was released on 2011 with total page 550 pages. Available in PDF, EPUB and Kindle. Book excerpt: This modern, graduate-level textbook does not assume prior knowledge of representation theory. Includes numerous concrete examples and over 250 exercises.

Automorphic Forms and $L$-functions I

Automorphic Forms and $L$-functions I

Author: David Ginzburg

Publisher: American Mathematical Soc.

Published: 2009

Total Pages: 315

ISBN-13: 0821847066

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Includes articles that represent global aspects of automorphic forms. This book covers topics such as: the trace formula; functoriality; representations of reductive groups over local fields; the relative trace formula and periods of automorphic forms; Rankin - Selberg convolutions and L-functions; and, p-adic L-functions.


Book Synopsis Automorphic Forms and $L$-functions I by : David Ginzburg

Download or read book Automorphic Forms and $L$-functions I written by David Ginzburg and published by American Mathematical Soc.. This book was released on 2009 with total page 315 pages. Available in PDF, EPUB and Kindle. Book excerpt: Includes articles that represent global aspects of automorphic forms. This book covers topics such as: the trace formula; functoriality; representations of reductive groups over local fields; the relative trace formula and periods of automorphic forms; Rankin - Selberg convolutions and L-functions; and, p-adic L-functions.

Automorphic Representations and L-Functions for the General Linear Group

Automorphic Representations and L-Functions for the General Linear Group

Author: Dorian Goldfeld

Publisher:

Published: 2011

Total Pages: 570

ISBN-13: 9781139070850

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


Book Synopsis Automorphic Representations and L-Functions for the General Linear Group by : Dorian Goldfeld

Download or read book Automorphic Representations and L-Functions for the General Linear Group written by Dorian Goldfeld and published by . This book was released on 2011 with total page 570 pages. Available in PDF, EPUB and Kindle. Book excerpt: This modern, graduate-level textbook does not assume prior knowledge of representation theory. Includes numerous concrete examples and exercises.

Automorphic Representations, L-Functions and Applications: Progress and Prospects

Automorphic Representations, L-Functions and Applications: Progress and Prospects

Author: James W. Cogdell

Publisher: Walter de Gruyter

Published: 2011-06-24

Total Pages: 441

ISBN-13: 3110892707

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This volume is the proceedings of the conference on Automorphic Representations, L-functions and Applications: Progress and Prospects, held at the Department of Mathematics of The Ohio State University, March 27–30, 2003, in honor of the 60th birthday of Steve Rallis. The theory of automorphic representations, automorphic L-functions and their applications to arithmetic continues to be an area of vigorous and fruitful research. The contributed papers in this volume represent many of the most recent developments and directions, including Rankin–Selberg L-functions (Bump, Ginzburg–Jiang–Rallis, Lapid–Rallis) the relative trace formula (Jacquet, Mao–Rallis) automorphic representations (Gan–Gurevich, Ginzburg–Rallis–Soudry) representation theory of p-adic groups (Baruch, Kudla–Rallis, Mœglin, Cogdell–Piatetski-Shapiro–Shahidi) p-adic methods (Harris–Li–Skinner, Vigneras), and arithmetic applications (Chinta–Friedberg–Hoffstein). The survey articles by Bump, on the Rankin–Selberg method, and by Jacquet, on the relative trace formula, should be particularly useful as an introduction to the key ideas about these important topics. This volume should be of interest both to researchers and students in the area of automorphic representations, as well as to mathematicians in other areas interested in having an overview of current developments in this important field.


Book Synopsis Automorphic Representations, L-Functions and Applications: Progress and Prospects by : James W. Cogdell

Download or read book Automorphic Representations, L-Functions and Applications: Progress and Prospects written by James W. Cogdell and published by Walter de Gruyter. This book was released on 2011-06-24 with total page 441 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is the proceedings of the conference on Automorphic Representations, L-functions and Applications: Progress and Prospects, held at the Department of Mathematics of The Ohio State University, March 27–30, 2003, in honor of the 60th birthday of Steve Rallis. The theory of automorphic representations, automorphic L-functions and their applications to arithmetic continues to be an area of vigorous and fruitful research. The contributed papers in this volume represent many of the most recent developments and directions, including Rankin–Selberg L-functions (Bump, Ginzburg–Jiang–Rallis, Lapid–Rallis) the relative trace formula (Jacquet, Mao–Rallis) automorphic representations (Gan–Gurevich, Ginzburg–Rallis–Soudry) representation theory of p-adic groups (Baruch, Kudla–Rallis, Mœglin, Cogdell–Piatetski-Shapiro–Shahidi) p-adic methods (Harris–Li–Skinner, Vigneras), and arithmetic applications (Chinta–Friedberg–Hoffstein). The survey articles by Bump, on the Rankin–Selberg method, and by Jacquet, on the relative trace formula, should be particularly useful as an introduction to the key ideas about these important topics. This volume should be of interest both to researchers and students in the area of automorphic representations, as well as to mathematicians in other areas interested in having an overview of current developments in this important field.

Automorphic Representations and L-functions for the General Linear Group

Automorphic Representations and L-functions for the General Linear Group

Author: D. Goldfeld

Publisher:

Published: 2011

Total Pages: 188

ISBN-13: 9781139076579

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


Book Synopsis Automorphic Representations and L-functions for the General Linear Group by : D. Goldfeld

Download or read book Automorphic Representations and L-functions for the General Linear Group written by D. Goldfeld and published by . This book was released on 2011 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt: This modern, graduate-level textbook does not assume prior knowledge of representation theory. Includes numerous concrete examples and exercises.