Jacobi Theta-functions and Discrete Fourier Transforms

Details Jacobi Theta-functions and Discrete Fourier Transforms Jacobi Theta-functions and Discrete Fourier Transforms

2006-04-07

arxiv.org/abs/math-ph/0604018v3

Physics

Mathematical Physics

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

Scientific paper

10.1063/1.2209770

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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