Bull. Korean Math. Soc. 2013; 50(3): 873-883
Printed May 31, 2013
https://doi.org/10.4134/BKMS.2013.50.3.873
Copyright © The Korean Mathematical Society.
Tianping Zhang
Shaanxi Normal University
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
MSC numbers: 11L05, 11L40
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