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Reciprocity formulas for generalized Dedekind character sums

Yuan He

Source record

Source: arXiv

Published: Oct 29, 2026

arXiv: 2610.39075

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Source abstract

In this paper, we apply the Fourier series technique to establish a new formula for the product of the generalized Bernoulli function and the Bernoulli function. As applications, we derive some reciprocity formulas for generalized Dedekind character sums. In particular, we show that the reciprocity formulas of Berndt, Can, and others follow as special cases.

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