Rolf S. Krausshar, "Generalized Analytic Automorphic Forms in Hypercomplex Spaces"
English | 2004 | ISBN: 3764370599 | PDF | pages: 150 | 1.1 mb
English | 2004 | ISBN: 3764370599 | PDF | pages: 150 | 1.1 mb
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.