On the equivalence of two fundamental theta identities
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| Publication date | 2014 |
| Journal | Analysis and Applications (Singapore) |
| Volume | Issue number | 12 | 6 |
| Pages (from-to) | 711-725 |
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| Abstract |
Two fundamental theta identities, a three-term identity due to Weierstrass and a five-term identity due to Jacobi, both with products of four theta functions as terms, are shown to be equivalent. One half of the equivalence was already proved by R. J. Chapman in 1996. The history and usage of the two identities, and some generalizations are also discussed.
Keywords: Theta functions; identities involving sums of products of theta functions; history of theta functions; applications of theta functions AMSC: 33E05, 11F27, 33-03, 01A55 Read More: http://www.worldscientific.com/doi/abs/10.1142/S0219530514500559 |
| Document type | Article |
| Note | Dedicated to the memory of Frank W. J. Olver |
| Language | English |
| Published at | https://doi.org/10.1142/S0219530514500559 |
| Downloads |
1401.5368v3
(Accepted author manuscript)
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