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Teoreticheskaya i Matematicheskaya Fizika, 2003, Volume 135, Number 3, Pages 462–477
DOI: https://doi.org/10.4213/tmf203 (Mi tmf203) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Modularity and Total Ellipticity of Some Multiple Series of Hypergeometric Type

V. P. Spiridonovab

a Joint Institute for Nuclear Research
b Max Planck Institute for Mathematics
Full-text PDF (279 kB) Citations (4)
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DOI: https://doi.org/10.4213/tmf203
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.
English version:
Theoretical and Mathematical Physics, 2003, Volume 135, Issue 3, Pages 836–848
DOI: https://doi.org/10.1023/A:1024035121615
Bibliographic databases:
Language: Russian
Citation: V. P. Spiridonov, “Modularity and Total Ellipticity of Some Multiple Series of Hypergeometric Type”, TMF, 135:3 (2003), 462–477; Theoret. and Math. Phys., 135:3 (2003), 836–848
Citation in format AMSBIB
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\by V.~P.~Spiridonov
\paper Modularity and Total Ellipticity of Some Multiple Series of Hypergeometric Type
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\vol 135
\issue 3
\pages 462--477
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\crossref{https://doi.org/10.4213/tmf203}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1984450}
\zmath{https://zbmath.org/?q=an:1178.33004}
\transl
\jour Theoret. and Math. Phys.
\yr 2003
\vol 135
\issue 3
\pages 836--848
\crossref{https://doi.org/10.1023/A:1024035121615}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000184367300009}
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  • https://www.mathnet.ru/eng/tmf203
  • https://doi.org/10.4213/tmf203
  • https://www.mathnet.ru/eng/tmf/v135/i3/p462
    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    Full-text PDF :195
    References:42
    First page:1
     
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