✦ LIBER ✦

On invariant subspaces and eigenfunctions of regular Hecke operators on spaces of multiple theta constants

✍ Scribed by Anatoli Andrianov; Fedor Andrianov

Publisher: Elsevier Science
Year: 2005
Tongue: English
Weight: 338 KB
Volume: 113
Category: Article
ISSN: 0022-314X
DOI: 10.1016/j.jnt.2004.11.013

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✦ Synopsis

Invariant subspaces and eigenfunctions of regular Hecke operators acting on spaces spanned by products of even number of Igusa theta constants with rational characteristics are constructed. For some of the eigenfunctions of genuses g = 1 and g = 2, corresponding zeta functions of Hecke and Andrianov are explicitly calculated.