Geodesic
Modularity and Total Ellipticity of Some Multiple Series of Hypergeometric Type
Teoretičeskaâ i matematičeskaâ fizika, Tome 135 (2003) no. 3, pp. 462-477 Cet article a éte moissonné depuis la source Math-Net.Ru

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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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V. P. Spiridonov. Modularity and Total Ellipticity of Some Multiple Series of Hypergeometric Type. Teoretičeskaâ i matematičeskaâ fizika, Tome 135 (2003) no. 3, pp. 462-477. http://geodesic.mathdoc.fr/item/TMF_2003_135_3_a8/

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