Thr hybrid mean value of <i>L</i>-functions and a special character sums

Abstract

The main purpose of this paper is using the estimation of the character sums to study the 2k-th power mean of L-functions with the weight of a character sums, and give an interesting asymptotic formula for it.

Keywords: Hybrid mean value, L-functions, character sums, asymptotic formula

Quaestiones Mathematicae 37(2014), 563-570