Author	Reimann, Harry. author
Title	The semi-simple zeta function of quaternionic Shimura varieties [electronic resource] / by Harry Reimann
Imprint	Berlin, Heidelberg : Springer Berlin Heidelberg, 1997
Connect to	http://dx.doi.org/10.1007/BFb0093995
Descript	X, 154 p. online resource

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