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Abstract and Applied Analysis
Volume 2013, Article ID 326597, 19 pages
Research Article

On the Mean Values of Certain Character Sums

Department of Mathematics, Northwest University, Xi'an, Shaanxi 710069, China

Received 8 August 2013; Accepted 22 September 2013

Academic Editor: T. Diagana

Copyright © 2013 Zhefeng Xu and Huaning Liu. 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.


Let be an odd number. In this paper, we study the fourth power mean of certain character sums and , where denotes the summation over primitive characters modulo , and give some asymptotic formulae.