논문KCI 등재
On the 2k-th power mean value of the generalized quadratic Gauss sums
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The main purpose of this paper is using the elementary and analytic methods to study the properties of the 2k-th power mean value of the generalized quadratic Gauss sums, and give two exact mean value formulae for k=3 and 4.
Abstract
The main purpose of this paper is using the elementary and analytic methods to study the properties of the 2k-th power mean value of the generalized quadratic Gauss sums, and give two exact mean value formulae for k=3 and 4.
참고문헌 (6)
- Tom M. Apostol, "Introduction to Analytic Number Theory" (1976), Springer-Verlag
- T. Cochrane, "Pure and mixed exponential sums", Acta Arith, 91(3), pp.249~278 (1999)
- L. K. Hua, "Introduction to Number Theory" (1979), Science Press
- A. Weil, "On some exponential sums", Proc. Nat. Acad. Sci. U.S.A, 통권 : 34, pp.204~207 (1948)
- W. Zhang, "Moments of generalized quadratic Gauss sums weighted by L-functions", J. Number Theory, 92(2), pp.304~314 (2002)
- W. Zhang, "On the general Gauss sums and their fourth power mean", Osaka J. Math, 42(1), pp.189~199 (2005)
관련 논문AI추천
AN IDENTITY ON THE 2m-TH POWER MEAN VALUE OF THE GENERALIZED GAUSS SUMSFeng Liu, Quan-Hui Yang대한수학회 · 대한수학회보2012 · 제49권 제6호On the general quadratic Gauss sums weighted by character sums over a short intervalTianping Zhang대한수학회 · 대한수학회보2013 · 제50권 제3호On the fourth power mean of generalized two-term exponential sumsTingting Wang대한수학회 · 대한수학회보2013 · 제50권 제1호Hybrid mean value of the generalized Kloosterman sums and Dirichlet character of polynomialsWang Jingzhe대한수학회 · 대한수학회보2013 · 제50권 제2호ON MIXED TWO-TERM EXPONENTIAL SUMSZhang Tianping대한수학회 · 대한수학회지2010 · 제47권 제6호On the r-th hyper-Kloosterman sums and a problem of D. H. LehmerXue Xifeng, Zhang Tianping대한수학회 · 대한수학회지2009 · 제46권 제4호
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