دانلود کتاب Lectures on Automorphic L-Functions

Name: Lectures on Automorphic L-Functions
Availability: InStock
Author: James W. Cogdell
ISBN: 0821835165,9780821835166

by James W. Cogdell, Henry Hyeongsin Kim, Maruti Ram Murty

عنوان فارسی: سخنرانی در Automorphic L-توابع
ناشر: Amer Mathematical Society
سال: 2004
زبان: انگلیسی
تعداد صفحه (نسخه چاپی - نسخه الکترونیکی): 283-298
شابک: 0821835165,9780821835166
نوع فایل: PDF دانلود نرم افزار مطالعه
حجم: 23.61 مگابایت

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جزییات کتاب

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.