Jacobi Theta-functions and Discrete Fourier Transforms
Mathematical Physics
2009-11-11 v3 math.MP
Quantum Physics
Abstract
Properties of the Jacobi Theta3-function and its derivatives under discrete Fourier transforms are investigated, and several interesting results are obtained. The role of modulo N equivalence classes in the theory of Theta-functions is stressed. An important conjecture is studied.
Keywords
Cite
@article{arxiv.math-ph/0604018,
title = {Jacobi Theta-functions and Discrete Fourier Transforms},
author = {M. Ruzzi},
journal= {arXiv preprint arXiv:math-ph/0604018},
year = {2009}
}
Comments
10 pages, to appear on the Journal of Mathematical Physics. V3 with additional references