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Explicit Constructions Of Automorphic L Functions by Stephen Gelbart

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1Explicit constructions of automorphic L-functions

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“Explicit constructions of automorphic L-functions” Metadata:

  • Title: ➤  Explicit constructions of automorphic L-functions
  • Author:
  • Language: English
  • Number of Pages: Median: 152
  • Publisher: Springer Verlag
  • Publish Date:
  • Publish Location: Berlin - New York
  • Dewey Decimal Classification: 512.73510 s
  • Library of Congress Classification: QA-0003.00000000.L28 no. 1254QA-0246.00000000.L28 no. 1254

“Explicit constructions of automorphic L-functions” Subjects and Themes:

Edition Identifiers:

Book Classifications

Access and General Info:

  • First Year Published: 1987
  • Is Full Text Available: No
  • Is The Book Public: No
  • Access Status: Unclassified

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    2Explicit Constructions of Automorphic L-Functions

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    “Explicit Constructions of Automorphic L-Functions” Metadata:

    • Title: ➤  Explicit Constructions of Automorphic L-Functions
    • Authors:
    • Language: English
    • Publisher: Springer London, Limited
    • Publish Date:

    Edition Identifiers:

    Access and General Info:

    • First Year Published: 2006
    • Is Full Text Available: No
    • Is The Book Public: No
    • Access Status: No_ebook

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    Source: Harvard Library

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    1Explicit constructions of automorphic L-functions

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    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.

    “Explicit constructions of automorphic L-functions” Metadata:

    • Title: ➤  Explicit constructions of automorphic L-functions
    • Authors:
    • Language: English
    • Publisher: Springer-Verlag
    • Publish Date:
    • Publish Location: Berlin
    • Genres: bibliography

    “Explicit constructions of automorphic L-functions” Subjects and Themes:

    Edition Specifications:

    • Number of Pages: vi, 152 p. ; 25 cm.

    Edition Identifiers:

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    2Explicit Constructions of Automorphic L-Functions

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    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.

    “Explicit Constructions of Automorphic L-Functions ” Metadata:

    • Title: ➤  Explicit Constructions of Automorphic L-Functions
    • Authors: ➤  
    • Language: English
    • Publish Date:
    • Publish Location: Germany - Berlin, Heidelberg
    • Dewey Decimal Classification: 512.73
    • Library of Congress Classification: QA246 .G453 1987

    “Explicit Constructions of Automorphic L-Functions ” Subjects and Themes:

    Edition Specifications:

    • Number of Pages: ➤  1 online resource (VIII, 156 p.)

    Edition Identifiers:

    Book Classifications

    • Dewey Decimal (DDC): ➤  ❛512.73❜.
    • Library of Congress Classification (LCC): ➤  ❛QA246 .G453 1987❜.

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