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Dirichlet characters, Gauss sums, and inverse \(Z\) transform. (English) Zbl 1277.65120

Summary: A generalized Möbius transform is presented. It is based on Dirichlet characters. A general algorithm is developed to compute the inverse \(Z\) transform on the unit circle, and an error estimate is given for the truncated series representation.

MSC:

65T50 Numerical methods for discrete and fast Fourier transforms
11L05 Gauss and Kloosterman sums; generalizations
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References:

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