논문KCI 등재
On the general quadratic Gauss sums weighted by character sums over a short interval
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초록
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.
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.
참고문헌 (5)
- T. Cochrane, "Pure and mixed exponential sums", Acta Arith, 91(3), pp.249~278 (1999)
- A. Weil, "On some exponential sums", Proc. Nat. Acad. Sci. U.S.A, 34, pp.204~207 (1948)
- Z. F. Xu, "Research on the arithmetical properties of some summations in Number Theory", 박사, pp.2007
- W. P. Zhang, Moments of generalized quadratic Gauss sums weighted by L-functions, J. Number Theory 92, "no. 2", 304–314 (2002)
- T. P. Zhang, "On character sums over a short interval", J. Number Theory, 129(4), pp.948~963 (2009)
관련 논문AI추천
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