Non-Archimedean L-functions of Siegel and Hilbert modular forms

Bibliographic Information

Non-Archimedean L-functions of Siegel and Hilbert modular forms

Alexey A. Panchishkin

(Lecture notes in mathematics, 1471)

Springer-Verlag, c1991

  • : gw
  • : us

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Note

Bibliography: p. [146]-154

Includes index

Description and Table of Contents

Description

The main subject of the book is the arithmetic of zeta functions of automorphic forms. More precisely, it looks at p-adic properties of the special values of these functions. For the Riemann-zeta function this goes back to the classical Kummer congruences for Bernoulli numbers and their p-adic analytic continuation of the standard zeta functions of Siegel and modular forms and of the convolutions of Hilbert modular forms. The book is addressed to specialists in representation theory, functional analysis and algebraic geometry. Together with new results, it provides considerable background information on p-adic measures, their Mellin transforms, Siegel and Hilbert modular forms, Hecke operators acting on them, and Euler products.

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Details

  • NCID
    BA12725048
  • ISBN
    • 3540541373
    • 0387541373
  • Country Code
    gw
  • Title Language Code
    eng
  • Text Language Code
    eng
  • Place of Publication
    Berlin ; Tokyo
  • Pages/Volumes
    157 p.
  • Size
    25 cm
  • Classification
  • Subject Headings
  • Parent Bibliography ID
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