Generalized Analytic Automorphic Forms in Hypercomplex Spaces (Frontiers in Mathematics) - Tapa blanda

Krausshar, Rolf S.

 
9783764370596: Generalized Analytic Automorphic Forms in Hypercomplex Spaces (Frontiers in Mathematics)

Sinopsis

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.

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Críticas

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)

Reseña del editor

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.

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