- On the equivalence of two fundamental theta identities
- Analysis and Applications (Singapore)
- Volume | Issue number
- 12 | 6
- Pages (from-to)
- Document type
- Faculty of Science (FNWI)
- Korteweg-de Vries Institute for Mathematics (KdVI)
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
- go to publisher's site
- Dedicated to the memory of Frank W. J. Olver
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