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Abstract and Applied Analysis
Volume 2013 (2013), Article ID 750964, 8 pages
http://dx.doi.org/10.1155/2013/750964
Research Article

On a Kind of Dirichlet Character Sums

1School of Science, Northwestern Polytechnical University, Xi'an, Shaanxi 710072, China
2The School of Electronic and Information Engineering, Xi'an Jiaotong University, Xi'an, Shaanxi 710049, China

Received 16 March 2013; Accepted 2 August 2013

Academic Editor: Hassan Eltayeb

Copyright © 2013 Rong Ma and Yulong Zhang. 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

Let be a prime and let denote the Dirichlet character modulo . For any prime with , define the set . In this paper, we study a kind of mean value of Dirichlet character sums , and use the properties of the Dirichlet -functions and generalized Kloosterman sums to obtain an interesting estimate.