© 1997

The semi-simple zeta function of quaternionic Shimura varieties

  • Authors

Part of the Lecture Notes in Mathematics book series (LNM, volume 1657)

Table of contents

  1. Front Matter
    Pages I-VII
  2. Harry Reimann
    Pages 1-8
  3. Harry Reimann
    Pages 9-65
  4. Harry Reimann
    Pages 66-88
  5. Back Matter
    Pages 89-144

About this book


This monograph is concerned with the Shimura variety attached to a quaternion algebra over a totally real number field. For any place of good (or moderately bad) reduction, the corresponding (semi-simple) local zeta function is expressed in terms of (semi-simple) local L-functions attached to automorphic representations. In an appendix a conjecture of Langlands and Rapoport on the reduction of a Shimura variety in a very general case is restated in a slightly stronger form. The reader is expected to be familiar with the basic concepts of algebraic geometry, algebraic number theory and the theory of automorphic representation.


algebra algebraic geometry algebraic number theory langlands program number theory shimura varieties zeta function

Bibliographic information

  • Book Title The semi-simple zeta function of quaternionic Shimura varieties
  • Authors Harry Reimann
  • Series Title Lecture Notes in Mathematics
  • Series Abbreviated Title Lecture Notes in Mathematics
  • DOI
  • Copyright Information Springer-Verlag Berlin Heidelberg 1997
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Softcover ISBN 978-3-540-62645-9
  • eBook ISBN 978-3-540-68414-5
  • Series ISSN 0075-8434
  • Series E-ISSN 1617-9692
  • Edition Number 1
  • Number of Pages X, 154
  • Number of Illustrations 0 b/w illustrations, 0 illustrations in colour
  • Topics Number Theory
    Algebraic Geometry
  • Buy this book on publisher's site
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