Generalized Analytic Automorphic Forms in Hypercomplex Spaces
(Sprache: Englisch)
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...
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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.
Inhaltsverzeichnis zu „Generalized Analytic Automorphic Forms in Hypercomplex Spaces “
- Introduction- 1. Function Theory in Hypercomplex Spaces
- 2. Clifford-analytic Eisenstein Series Associated to Translation Groups
- 3. Clifford-analytic Modular Forms
- Bibliography
- Index.
Bibliographische Angaben
- Autor: Rolf S. Krausshar
- 2004, 2004, 168 Seiten, Maße: 17,8 x 25,4 cm, Kartoniert (TB), Englisch
- Verlag: Springer
- ISBN-10: 3764370599
- ISBN-13: 9783764370596
- Erscheinungsdatum: 23.02.2004
Sprache:
Englisch
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