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Generalized Analytic Automorphic Forms in Hypercomplex Spaces (Frontiers in Mathematics)

Rolf S. Krausshar




[PDF.em83] Generalized Analytic Automorphic Forms in Hypercomplex Spaces (Frontiers in Mathematics)

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 | #5362416 in Books |  Birkhäuser |  2008-06-13 | Original language:English | PDF # 1 |  10.00 x.43 x7.00l,.82 | File type: PDF | 168 pages

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|| ||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

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...

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