Generalized Analytic Automorphic Forms in Hypercomplex Spaces

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This book describes the basic theory of hypercomplex-analytic automorphic forms and functions for arithmetic subgroups of the Vahlen group in higher dimensional spaces. Hypercomplex analyticity generalizes the concept of complex analyticity in the sense of considering null-solutions to higher dimensional Cauchy-Riemann type systems. 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 ...

Generalized Analytic Automorphic Forms in Hypercomplex Spaces 2004, Birkhauser, Basel, Switzerland

ISBN-13: 9783764370596

2004 edition

Trade paperback

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