TY - JOUR A2 - Eltayeb, Hassan AU - Ma, Rong AU - Zhang, Yulong AU - Zhang, Guohe PY - 2013 DA - 2013/09/15 TI - On a Kind of Dirichlet Character Sums SP - 750964 VL - 2013 AB - Let p3 be a prime and let χ denote the Dirichlet character modulo p. For any prime q with q<p, define the set Eq,p=a1a,a-p,aa-1modp  and  aa-modq. In this paper, we study a kind of mean value of Dirichlet character sums ap  aEq,pχ(a), and use the properties of the Dirichlet L-functions and generalized Kloosterman sums to obtain an interesting estimate. SN - 1085-3375 UR - https://doi.org/10.1155/2013/750964 DO - 10.1155/2013/750964 JF - Abstract and Applied Analysis PB - Hindawi Publishing Corporation KW - ER -