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Item Details
| Title:
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LECTURES ON AUTOMORPHIC $L$-FUNCTIONS
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| By: |
James W. Cogdell, Henry H. Kim, Maruti Ram Murty |
| Format: |
Hardback |
| List price:
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£59.95 |
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We currently do not stock this item, please contact the publisher directly for
further information.
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| 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: |
US |
| Imprint: |
American Mathematical Society |
| Returns: |
Non-returnable |
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