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http://dx.doi.org/10.4134/BKMS.2013.50.3.873

ON THE GENERAL QUADRATIC GAUSS SUMS WEIGHTED BY CHARACTER SUMS OVER A SHORT INTERVAL

Zhang, Tianping (College of Mathematics and Information Science Shaanxi Normal University)

Publication Information

Bulletin of the Korean Mathematical Society / v.50, no.3, 2013 , pp. 873-883 More about this Journal

Abstract

By using the analytic methods, the mean value of the general quadratic Gauss sums weighted by the first power mean of character sums over a short interval is investigated. Several sharp asymptotic formulae are obtained, which show that these sums enjoy good distributive properties. Moreover, interesting connections among them are established.

Keywords

quadratic Gauss sums; character sums; mean value;

Citations & Related Records

Reference

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