Cyclic Identities Involving Ratios of Jacobi Theta Functions

Details Cyclic Identities Involving Ratios of Jacobi Theta Functions Cyclic Identities Involving Ratios of Jacobi Theta Functions

2004-03-27

arxiv.org/abs/math-ph/0403051v1

Physics

Mathematical Physics

23 pages, 0 figures

Scientific paper

Identities involving cyclic sums of terms composed from Jacobi elliptic
functions evaluated at $p$ equally shifted points were recently found. The
purpose of this paper is to re-express these cyclic identities in terms of
ratios of Jacobi theta functions, since many physicists prefer using Jacobi
theta functions rather than Jacobi elliptic functions.

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