On the quintuple product identity
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- by Hershel M. Farkas and Irwin Kra
- Proc. Amer. Math. Soc. 127 (1999), 771-778
- DOI: https://doi.org/10.1090/S0002-9939-99-04791-7
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Abstract:
In this note we present a new proof of the quintuple product identity which is based on our study of $k^{th}$ order theta functions with characteristics and the identities they satisfy. In this context the quintuple product identity is another example of an identity which when phrased in terms of theta functions, rather than infinite products and sums, has a simpler form and is much less mysterious.References
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Bibliographic Information
- Hershel M. Farkas
- Affiliation: Department of Mathematics, The Hebrew University of Jerusalem, Jerusalem 91904, Israel
- Email: farkas@math.huji.ac.il
- Irwin Kra
- Affiliation: Department of Mathematics, State University of New York at Stony Brook, Stony Brook, New York 11794
- MR Author ID: 105975
- Email: irwin@math.sunysb.edu
- Received by editor(s): June 17, 1997
- Additional Notes: The second authorโs research was supported in part by NSF Grant DMS 9500557. The first authorโs research was supported in part by the Gabriella and Paul Rosenbaum Foundation and the Edmund Landau Center for Research in Mathematical Analysis sponsored by the Minerva Foundation Germany. Both authors were supported in part by a US-Israel BSF Grant 95-348.
- Communicated by: Dennis A. Hejhal
- © Copyright 1999 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 127 (1999), 771-778
- MSC (1991): Primary 30F30, 11F03; Secondary 30B99, 14H05, 05A30
- DOI: https://doi.org/10.1090/S0002-9939-99-04791-7
- MathSciNet review: 1487364