vix.ing · top · new · best · stats · spec

Cyclic Identities Involving Ratios of Jacobi Theta Functions

2004/03/27 by Avinash Khare, Arul Lakshminarayan, Khare, Avinash +4
Chemistry · Mathematics · Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Mathematical functions and polynomials #Molecular spectroscopy and chirality #Nonlinear Waves and Solitons #Quantum Physics (quant-ph) #hep-th #math-ph #math.MP #quant-ph

paper · pdf · doi:10.48550/arxiv.math-ph/0403051

23 pages, 0 figures

arxiv created 2004/03/27 · openalex publication_date 2004/03/27 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

Related