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On the general trigonometric sums weighted by character sums

Author

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  • Tian, Qing
  • Yang, Wei
  • Ding, Liping

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.

Suggested Citation

  • Tian, Qing & Yang, Wei & Ding, Liping, 2015. "On the general trigonometric sums weighted by character sums," Applied Mathematics and Computation, Elsevier, vol. 268(C), pages 375-387.
    • Handle: RePEc:eee:apmaco:v:268:y:2015:i:c:p:375-387
    DOI: 10.1016/j.amc.2015.06.016
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