Download E-books The semi-simple zeta function of quaternionic Shimura varieties (Lecture Notes in Mathematics) PDF

By Harry Reimann

This monograph is worried with the Shimura style hooked up to a quaternion algebra over a wholly actual quantity box. For anyplace of fine (or reasonably undesirable) relief, the corresponding (semi-simple) neighborhood zeta functionality is expressed when it comes to (semi-simple) neighborhood L-functions connected to automorphic representations. In an appendix a conjecture of Langlands and Rapoport at the relief of a Shimura style in a really common case is restated in a touch greater shape. The reader is predicted to be conversant in the fundamental suggestions of algebraic geometry, algebraic quantity conception and the idea of automorphic illustration.

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