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27 April 2024

» arxiv » 1512.1466

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Trigonometric representations of generalized Dedekind and Hardy sums via the discrete Fourier transform
Michael Th. Rassias ; László Tóth ;
Date:	4 Dec 2015
Abstract:	We introduce some new higher dimensional generalizations of the Dedekind sums associated with the Bernoulli functions and of those Hardy sums which are defined by the sawtooth function. We generalize a variant of Parseval’s formula for the discrete Fourier transform to derive finite trigonometric representations for these sums in a simple unified manner. We also consider a related sum involving the Hurwitz zeta function.
Source:	arXiv, 1512.1466
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