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Modularity and Total Ellipticity of Some Multiple Series of Hypergeometric Type

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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.

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Spiridonov, V.P. Modularity and Total Ellipticity of Some Multiple Series of Hypergeometric Type. Theoretical and Mathematical Physics 135, 836–848 (2003). https://doi.org/10.1023/A:1024035121615

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