Generalized Analytic Automorphic Forms in Hypercomplex Spaces
Rolf S. KraussharThis 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.
种类:
年:
2004
出版:
1
出版社:
Birkhäuser Basel
语言:
english
页:
182
ISBN 10:
3764370599
ISBN 13:
9783764370596
系列:
Frontiers in Mathematics
文件:
PDF, 1.04 MB
IPFS:
,
english, 2004