On the hybrid mean value of Gauss sums and generalized Bernoulli numbers

Huaning Liu; Wenpeng Zhang

doi:10.3792/pjaa.80.113

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June 2004 On the hybrid mean value of Gauss sums and generalized Bernoulli numbers

Huaning Liu, Wenpeng Zhang

Proc. Japan Acad. Ser. A Math. Sci. 80(6): 113-115 (June 2004). DOI: 10.3792/pjaa.80.113

Abstract

The main purpose of this paper is using the properties of primitive characters and the mean value theorems of Dirichlet $L$-functions to study the hybrid mean value of Gauss sums and generalized Bernoulli numbers, and give a sharper asymptotic formula.

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Huaning Liu. Wenpeng Zhang. "On the hybrid mean value of Gauss sums and generalized Bernoulli numbers." Proc. Japan Acad. Ser. A Math. Sci. 80 (6) 113 - 115, June 2004. https://doi.org/10.3792/pjaa.80.113