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We generalize a theorem of Ibukiyama and express periodic generalized Bernoulli functions by generalized Bernoulli numbers. As a corollary, we obtain formulas expressing these character sums by generalized Bernoulli numbers using only elementary methods from algebra and number theory.


This article was originally published in Commentarii mathematici Universitatis Sancti Pauli = Rikkyo Daigaku sugaku zasshi, available at doi:10.14992/00018053.

The article is distributed under a Creative Commons Attribution Non-Commerical No Derivatives (CC-BY NC ND 4.0) License.

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