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New theta constant identities

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Abstract

The residue theorem is employed to obtain new identities amongpthe powers of theta constants with rational characteristics. The technique is then used to derive some known identities of Ramanujan.

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Authors and Affiliations

  1. Institute of Mathematics, The Hebrew University of Jerusalem, Jerusalem, Israel

    Hershel M. Farkas & Yaacov Kopeliovich

Authors
  1. Hershel M. Farkas
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  2. Yaacov Kopeliovich
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Additional information

Dedicated to John Thompson for his many original contributions to mathematics

Research by HMF partially sponsored by the Edmund Landau Center for Research in Mathematical Analysis, supported by the Minerva Foundation (Germany).

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Farkas, H.M., Kopeliovich, Y. New theta constant identities. Israel J. Math. 82, 133–140 (1993). https://doi.org/10.1007/BF02808110

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  • DOI: https://doi.org/10.1007/BF02808110

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