Automorphic Forms and L-Functions fo...
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  • Automorphic Forms and L-Functions for the Group GL(n,R).[electronic resource].
  • 紀錄類型: 書目-語言資料,印刷品 : Monograph/item
    杜威分類號: 512.74
    書名/作者: Automorphic Forms and L-Functions for the Group GL(n,R).
    作者: Goldfeld, Dorian.
    出版者: Leiden : : Cambridge University Press,, 2006.
    面頁冊數: 509 p.
    標題: L-functions.
    ISBN: 9780511542923 (electronic bk.)
    ISBN: 9780521837712 (print)
    內容註: Cover; Half-title; Series-title; Title; Copyright; Dedication; Contents; Introduction; 1 Discrete group actions; 2 Invariant differential operators; 3 Automorphic forms and L–functions for SL(2, Z); 4 Existence of Maass forms; 5 Maass forms and Whittaker functions for SL(n, Z); 6 Automorphic forms and L-functions for SL(3, Z); 7 The Gelbart–Jacquet lift; 8 Bounds for L-functions and Siegel zeros; 9 The Godement–Jacquet L-function; 10 Langlands Eisenstein series; 11 Poincare series and Kloosterman sums; 12 Rankin–Selberg convolutions; 13 Langlands conjectures; List of symbols
    摘要、提要註: 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.
    電子資源: Click here to view book
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