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 p≥3 be a prime and let χ denote the Dirichlet character modulo p. For any prime q with q<p, define the set Eq,p=a∣1≤a,a-≤p,aa-≡1modp and a≡a-modq. In this paper, we study a kind of mean value of Dirichlet character sums ∑a≤p a∈Eq,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 -