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.
Publié le : 2004-06-14
Classification:
Gauss sums,
generalized Bernoulli number,
hybrid mean value,
11L05,
11B68
@article{1116014788,
author = {Liu, Huaning and Zhang, Wenpeng},
title = {On the hybrid mean value of Gauss sums and generalized Bernoulli numbers},
journal = {Proc. Japan Acad. Ser. A Math. Sci.},
volume = {80},
number = {6},
year = {2004},
pages = { 113-115},
language = {en},
url = {http://dml.mathdoc.fr/item/1116014788}
}
Liu, Huaning; Zhang, Wenpeng. On the hybrid mean value of Gauss sums and generalized Bernoulli numbers. Proc. Japan Acad. Ser. A Math. Sci., Tome 80 (2004) no. 6, pp. 113-115. http://gdmltest.u-ga.fr/item/1116014788/