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

By Harry Reimann

This monograph is anxious with the Shimura sort connected to a quaternion algebra over a unconditionally actual quantity box. For anyplace of fine (or reasonably undesirable) relief, the corresponding (semi-simple) neighborhood zeta functionality is expressed by way of (semi-simple) neighborhood L-functions hooked up to automorphic representations. In an appendix a conjecture of Langlands and Rapoport at the aid of a Shimura style in a really basic case is restated in a marginally more advantageous shape. The reader is predicted to be acquainted with the fundamental techniques of algebraic geometry, algebraic quantity concept and the speculation of automorphic illustration.

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