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Reciprocity formulas for certain generalized Hardy-Berndt sums

He, Yuan
arXiv (All) · Papers
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11b68number-theory
In this paper, we introduce the generalized Hardy-Berndt sums. We establish some formulas of products of the Bernoulli and Euler functions by using the Fourier series technique and some properties of the periodic-zeta and Lerch-zeta functions. As applications of the results, we give some reciprocity
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