New theta constant identities |
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Authors: | Hershel M Farkas Yaacov Kopeliovich |
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Institution: | (1) Institute of Mathematics, The Hebrew University of Jerusalem, Jerusalem, Israel |
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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.
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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