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arxiv: math-ph/0604018 · v3 · submitted 2006-04-07 · 🧮 math-ph · math.MP· quant-ph

Jacobi Theta-functions and Discrete Fourier Transforms

classification 🧮 math-ph math.MPquant-ph
keywords discretefourierjacobitheta-functionstransformsclassesconjecturederivatives
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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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