Digital Sums and Divide-and-Conquer Recurrences: Fourier
Expansions and Absolute Convergence |
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Authors: | Peter J Grabner Hsien-Kuei Hwang |
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Institution: | 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 periodic
functions appearing in higher moments of the sum-of-digits
function and in the solutions of some divide-and-conquer
recurrences. The expansions are shown to be absolutely
convergent. We also give a new approach to efficiently compute
numerically the coefficients involved to high precision. |
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Keywords: | |
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