On invariant subspaces and eigenfunctions of regular Hecke operators on spaces of multiple theta constants |
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| Authors: | Anatoli Andrianov Fedor Andrianov |
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| Institution: | a Steklov Mathematical Institute, St. Petersburg Branch, Fontanka 27, 191023 St. Petersburg, Russia
b NDSU, Department of Mathematics, 300 Minard Hall, P.O. Box 5075, Fargo, ND 58105-5075, USA |
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| Abstract: | 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. |
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| Keywords: | primary 11F27 11F46 11F60 11F66 |
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