Yi, Yuan et Zhang, Wen Peng, On the 2k-th Power Mean of Inversion of L-functions with the Weight of the Gauss Sum, Acta mathematica Sinica. English series (Print) , 20(1), 2004, pp. 175-180
The main purpose of this paper is to use the estimate for character sums and the method of trigonometric sums to study the 2k-th power mean of the inversion of Dirichlet L-functions with the weight of the Gauss sums, and give a sharper asymptotic formula.