Title: The semi-simple zeta function of quaternionic Shimura varieties (Lecture Notes in Mathematics, 1657)
Publisher: Springer
Publication Date: 1997
Language: English
ISBN 10: 354062645X
ISBN 13: 9783540626459
Binding: Soft cover
Condition: New

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Synopsis

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.

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