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Generalized Analytic Automorphic Forms in Hypercomplex Spaces (Frontiers in Mathematics) 4.0%OFF

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

by Rolf S. Krausshar

  • ISBN

    :  

    9783764370596

  • Publisher

    :  

    Birkhýuser

  • Subject

    :  

    Mathematics

  • Binding

    :  

    PAPERBACK

  • Pages

    :  

    183

  • Year

    :  

    2004

5970.0

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  • Description

    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 PoincarxE9; 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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