On a Kind of Dirichlet Character Sums. (15th September 2013)

• Record Type: Journal Article
• Authors: Ma, Rong; Zhang, Yulong; Zhang, Guohe
• Other Names: Eltayeb Hassan Academic Editor.
• Is Part Of: Abstract and applied analysis. Volume 2013(2013)
• Publication Date: 2013-09-15
• Subjects: Mathematical analysis -- Periodicals; Mathematical analysis; Applied Mathematics; Mathematical Analysis; Periodicals; 515.05
• DOI: 10.1155/2013/750964
• Languages: English
• ISSNs: 1085-3375

Abstract

Abstract : 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 E q, p = a ∣ 1 ≤ a, a - ≤ p, a a - ≡ 1 mod p and a ≡ a - mod q . In this paper, we study a kind of mean value of Dirichlet character sums ∑ a ≤ p a ∈ E q, p χ ( a ), and use the properties of the Dirichlet L -functions and generalized Kloosterman sums to obtain an interesting estimate.