Generalized Analytic Automorphic Forms in Hypercomplex Spaces
| Author | : Rolf S. Krausshar |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 194 |
| Release | : 2004-02-23 |
| ISBN-10 | : 3764370599 |
| ISBN-13 | : 9783764370596 |
| Rating | : 4/5 (596 Downloads) |
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.
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