Lectures on Automorphic $L$-functions (Fields Institute Monographs) by James W. Cogdell, Henry H. Kim, M. Ram Murty
Lectures on Automorphic $L$-functions (Fields Institute Monographs) by James W. Cogdell, Henry H. Kim, M. Ram Murty PDF, ePub eBook D0wnl0ad
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. Titles in this series are co-published with The Fields Institute for Research in Mathematical Sciences (Toronto, Ontario, Canada).From reader reviews:
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