Generalized Analytic Automorphic Forms in Hypercomplex Spaces - Frontiers in Mathematics (Paperback)Rolf S. Krausshar (author)
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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 Poincare 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.
Publisher: Birkhauser Verlag AG
Number of pages: 168
Weight: 740 g
Dimensions: 254 x 178 x 10 mm
Edition: 2004 ed.
From the reviews:
"Its remarkable feature is a masterful combination of deep and sophisticated results with very accessible form of presentation. I am sure the book will have numerous and far-reaching consequences and repercussions."(ZENTRALBLATT MATH)
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