Open Access
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.

Citation

Download Citation

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

Information

Published: June 2004
First available in Project Euclid: 13 May 2005

zbMATH: 1061.11045
MathSciNet: MR2075453
Digital Object Identifier: 10.3792/pjaa.80.113

Subjects:
Primary: 11B68 , 11L05

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

Rights: Copyright © 2004 The Japan Academy

Vol.80 • No. 6 • June 2004
Back to Top