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Modularity and Total Ellipticity of Some Multiple Series of Hypergeometric Type |
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| Authors: | Spiridonov V P |
| Institution: | (1) Max-Planck-Institut für Mathematik, Bonn, Germany;(2) Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, Dubna, Moscow Oblast, Russia |
| Abstract: | We collect some new evidence for the validity of the conjecture that every totally elliptic hypergeometric series is modular invariant and briefly discuss a generalization of such series to Riemann surfaces of arbitrary genus. |
| Keywords: | theta functions elliptic hypergeometric series modular group summation formulas |
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