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

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

Huaning Liu and Wenpeng Zhang

Source: Proc. Japan Acad. Ser. A Math. Sci. Volume 80, Number 6 (2004), 113-115.

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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Primary Subjects: 11L05, 11B68

Keywords: Gauss sums; generalized Bernoulli number; hybrid mean value

Full-text: Open access

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Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.pja/1116014788
Mathematical Reviews number (MathSciNet): MR2075453
Zentralblatt MATH identifier: 1061.11045
Digital Object Identifier: doi:10.3792/pjaa.80.113

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Digital Object Identifier: doi:10.1016/j.jmaa.2003.09.056

Zentralblatt MATH: 1046.11056

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