書誌事項

Explicit constructions of automorphic L-functions

Stephen Gelbart, Ilya Piatetski-Shapiro, Stephen Rallis

(Lecture notes in mathematics, 1254)

Springer-Verlag, c1987

  • : gw
  • : us

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注記

Includes bibliographies and index

内容説明・目次

内容説明

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 algebraic 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.

目次

L-functions for the classical groups.- L-functions for GxGL(n).

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詳細情報

  • NII書誌ID(NCID)
    BA00594882
  • ISBN
    • 3540178481
    • 0387178481
  • 出版国コード
    gw
  • タイトル言語コード
    eng
  • 本文言語コード
    eng
  • 出版地
    Berlin ; Tokyo
  • ページ数/冊数
    vi, 152 p.
  • 大きさ
    25 cm
  • 分類
  • 親書誌ID
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