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Jacobi Theta-functions and Discrete Fourier Transforms

M. Ruzzi

math-pharXiv:math-ph/0604018

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.

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