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2013 On a Kind of Dirichlet Character Sums
Rong Ma, Yulong Zhang, Guohe Zhang
Abstr. Appl. Anal. 2013(SI50): 1-8 (2013). DOI: 10.1155/2013/750964

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.

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Rong Ma. Yulong Zhang. Guohe Zhang. "On a Kind of Dirichlet Character Sums." Abstr. Appl. Anal. 2013 (SI50) 1 - 8, 2013. https://doi.org/10.1155/2013/750964

Information

Published: 2013
First available in Project Euclid: 26 February 2014

zbMATH: 07095326
MathSciNet: MR3102680
Digital Object Identifier: 10.1155/2013/750964

Rights: Copyright © 2013 Hindawi

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