Generalized Analytic Automorphic Forms In Hypercomplex Spaces
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Generalized Analytic Automorphic Forms in Hypercomplex Spaces
Author: Rolf S. Krausshar
language: en
Publisher: Springer Science & Business Media
Release Date: 2004-02-23
This book offers basic theory on hypercomplex-analytic automorphic forms and functions for arithmetic subgroups of the Vahlen group in higher dimensional spaces. Vector- and Clifford algebra-valued Eisenstein and Poincaré series are constructed within this framework and a detailed description of their analytic and number theoretical properties is provided. It establishes explicit relationships to generalized variants of the Riemann zeta function and Dirichlet L-series, and introduces hypercomplex multiplication of lattices.