LECTURES ON AUTOMORPHIC $L$-FUNCTIONS by James W. Cogdell, Henry H. Kim, Maruti Ram Murty ( 9780821835166 )

Item Details

Title:

LECTURES ON AUTOMORPHIC $L$-FUNCTIONS

By:

James W. Cogdell, Henry H. Kim, Maruti Ram Murty

Format:

Hardback

List price:	£59.95
We currently do not stock this item, please contact the publisher directly for further information.

ISBN 10:

0821835165

ISBN 13:

9780821835166

Publisher:

AMERICAN MATHEMATICAL SOCIETY

Pub. date:

1 January, 2004

Series:

Fields Institute Monographs No. 20

Pages:

283

Description:

Presents an account of the role automorphic $L$-functions play in number theory and in the Langlands program, especially the Langlands functoriality conjecture. This book explains how the Langlands functoriality conjecture implies solutions to several conjectures in number theory, such as the Ramanujan conjecture and Sato-Tate conjecture.

Synopsis:

This book provides a comprehensive account of the crucial role automorphic $L$-functions play in number theory and in the Langlands program, especially the Langlands functoriality conjecture. There has been a recent major development in the Langlands functoriality conjecture by the use of automorphic $L$-functions, namely, by combining converse theorems of Cogdell and Piatetski-Shapiro with the Langlands-Shahidi method. This book provides a step-by-step introduction to these developments and explains how the Langlands functoriality conjecture implies solutions to several outstanding conjectures in number theory, such as the Ramanujan conjecture, Sato-Tate conjecture, and Artin's conjecture. It would be ideal for an introductory course in the Langlands program.

Publication:

Imprint:

American Mathematical Society

Returns:

Non-returnable

Some other items by this author:

ARITHMETIC GEOMETRY AND AUTOMORPHIC FORMS (PB)

AUTOMORPHIC FORMS AND RELATED GEOMETRY (PB)

AUTOMORPHIC REPRESENTATIONS, L-FUNCTIONS AND APPLICATIONS: PROGRESS AND PROSPECTS

AUTOMORPHIC REPRESENTATIONS, L-FUNCTIONS AND APPLICATIONS: PROGRESS AND PROSPECTS (HB)

EMIL ARTIN AND BEYOND - CLASS FIELD THEORY AND L-FUNCTIONS (HB)

LECTURES ON AUTOMORPHIC $L$-FUNCTIONS (PB)