International Journal of Mathematics and Mathematical Sciences
Volume 31 (2002), Issue 12, Pages 745-750
doi:10.1155/S0161171202201246

On the first power mean of L-functions with the weight of general Kloosterman sums

Zhang Wenpeng

Research Center for Basic Science, Xi'an Jiaotong University, Xi'an, Shaanxi, China

Received 20 January 2002

Copyright © 2002 Zhang Wenpeng. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

The main purpose of this paper is using the estimates for character sums and the analytic method to study the first power mean of Dirichlet L-functions with the weight of general Kloosterman sums, and give an interesting asymptotic formula.