Digital Sums and Divide-and-Conquer Recurrences: FourierExpansions and Absolute Convergence |
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Authors: | Peter J. Grabner Hsien-Kuei Hwang |
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Affiliation: | 1. Institut für Mathematik A, Technische Universit?t Graz, Steyrergasse 30 8010, Graz, Austria
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Abstract: | We propose means for computing the Fourier expansions of periodicfunctions appearing in higher moments of the sum-of-digitsfunction and in the solutions of some divide-and-conquerrecurrences. The expansions are shown to be absolutelyconvergent. We also give a new approach to efficiently computenumerically the coefficients involved to high precision. |
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