Jacobi Theta-functions and Discrete Fourier Transforms

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.

10 pages, to appear on the Journal of Mathematical Physics. V3 with additional references

References in corpus (1)

• Quasiprobability distribution functions for periodic phase-spaces: I. Theoretical Aspects

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