On the general trigonometric sums weighted by character sums

Qing Tian, Wei Yang and Liping Ding

Applied Mathematics and Computation, 2015, vol. 268, issue C, 375-387

Abstract: The main purpose of this paper is using the estimates for character sums and the mean value properties of Dirichlet L-function to study the hybrid mean value properties of the general trigonometric sums, which is weighted by the 2kth and first power mean of character sums in [1,p4). The two sharp asymptotic formulae are derived and some interesting connections between these sums are established.

Keywords: Character sums; General trigonometric sums; Asymptotic formula (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:268:y:2015:i:c:p:375-387

DOI: 10.1016/j.amc.2015.06.016

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