Generalized Analytic Automorphic Forms in Hypercomplex Spaces

Download or read book Generalized Analytic Automorphic Forms in Hypercomplex Spaces written by Rolf S. Krausshar and published by Springer Science & Business Media. This book was released on 2004-02-23 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.