Cyclic Identities Involving Ratios of Jacobi Theta Functions

Khare, Avinash; Lakshminarayan, Arul; Sukhatme, Uday

Cyclic Identities Involving Ratios of Jacobi Theta Functions

Authors

Khare, Avinash

Lakshminarayan, Arul

Sukhatme, Uday

Description

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.
23 pages, 0 figures