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<図書>
Explicit constructions of automorphic L-functions

責任表示 Stephen Gelbart, Ilya Piatetski-Shapiro, Stephen Rallis
シリーズ Lecture notes in mathematics ; 1254
データ種別 図書
出版者 Berlin ; Tokyo : Springer-Verlag
出版年 c1987
本文言語 英語
大きさ vi, 152 p. ; 25 cm
概要 The goal of this research monograph is to derive the analytic continuation and functional equation of the "L"-functions attached by R.P. Langlands to automorphic representations of reductive algebrai... groups. The first part of the book (by Piatetski-Shapiro and Rallis) deals with "L"-functions for the simple classical groups; the second part (by Gelbart and Piatetski-Shapiro) deals with non-simple groups of the form "G GL(n)," with "G" a quasi-split reductive group of split rank "n," The method of proof is to construct certain explicit zeta-integrals of Rankin-Selberg type which interpolate the relevant Langlands "L"-functions and can be analyzed via the theory of Eisenstein series and intertwining operators. This is the first time such an approach has been applied to such general classes of groups. The flavor of the local theory is decidedly representation theoretic, and the work should be of interest to researchers in group representation theory as well as number theory. 続きを見る
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所蔵情報


理系図 自動書庫 068582187009446 410.8/L 493/(1254) 1987

理系図 自動書庫 068582187011464 410.8/L 493/(1254)A 1987

数理 離散数理 068222187007905 SER/LNM/1254 1987

書誌詳細

一般注記 Includes bibliographies and index
著者標目 *Gelbart, Stephen S., 1946-
Piatetski-Shapiro, Ilya, 1929-
Rallis, Stephen, 1942-
分 類 DC19:510 s
書誌ID 1000029174
ISBN 3540178481
NCID BA00594882
巻冊次 : gw ; ISBN:3540178481
: us ; ISBN:0387178481
登録日 2009.09.10
更新日 2017.02.18

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