Generalized Analytic Automorphic Forms in Hypercomplex Spaces

Paperback Engels 2004 2004e druk 9783764370596
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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.

Specificaties

ISBN13:9783764370596
Taal:Engels
Bindwijze:Paperback
Aantal pagina's:168
Uitgever:Birkhäuser Basel
Druk:2004

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          Generalized Analytic Automorphic Forms in Hypercomplex Spaces