Jacobi Theta-functions and Discrete Fourier Transforms
M. Ruzzi
TL;DR
This paper explores the properties of Jacobi Theta3-functions and their derivatives under discrete Fourier transforms, highlighting the significance of modulo N classes and examining a key conjecture in the field.
Contribution
It investigates the behavior of Theta3-functions under discrete Fourier transforms and emphasizes the role of modulo N classes, providing new insights and studying an important conjecture.
Findings
Properties of Theta3-functions under discrete Fourier transforms are characterized.
The role of modulo N equivalence classes in Theta-function theory is clarified.
An important conjecture related to Theta-functions is examined.
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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