논문KCI 등재
Hybrid mean value of the generalized Kloosterman sums and Dirichlet character of polynomials
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The main purpose of this paper is using the analytic methods and the properties of Gauss sums to study the computational problem of one kind mean value of the generalized Kloosterman sums and Dirichlet character of polynomials, and give an interesting asymptotic formula for it.
Abstract
The main purpose of this paper is using the analytic methods and the properties of Gauss sums to study the computational problem of one kind mean value of the generalized Kloosterman sums and Dirichlet character of polynomials, and give an interesting asymptotic formula for it.
참고문헌 (6)
- Tom M. Apostol, "Introduction to Analytic Number Theory" (1976), Springer-Verlag
- D. A. Burgess, "On character sums and primitive roots", Proc. London Math. Soc, 12, pp.179~192 (1962)
- D. A. Burgess, "On Dirichlet characters of polynomials", Proc. London Math. Soc, 13, pp.537~548 (1963)
- A. Granville, "Large character sums: Pretentious characters and the P´olya-Vinogradov theorem", J. Amer. Math. Soc, 20(2), pp.357~384 (2007)
- W. Zhang, "A note on the Dirichlet characters of polynomials", Acta Arith, 115(3), pp.225~229 (2004)
- W. Zhang, "On Dirichlet characters of polynomials", Bull. London Math. Soc, 34(4), pp.469~473 (2002)
관련 논문AI추천
ON THE HYBRID MEAN VALUE OF GENERALIZED DEDEKIND SUMS, GENERALIZED HARDY SUMS AND KLOOSTERMAN SUMSQing Tian, Yan Wang대한수학회 · 대한수학회보2023 · 제60권 제3호On the r-th hyper-Kloosterman sums and a problem of D. H. LehmerXue Xifeng, Zhang Tianping대한수학회 · 대한수학회지2009 · 제46권 제4호On the general quadratic Gauss sums weighted by character sums over a short intervalTianping Zhang대한수학회 · 대한수학회보2013 · 제50권 제3호On the 2k-th power mean value of the generalized quadratic Gauss sumsWenpeng Zhang, Yanfeng He대한수학회 · 대한수학회보2011 · 제48권 제1호INVERSION OF L-FUNCTIONS, GENERAL KLOOSTERMAN SUMS WEIGHTED BY INCOMPLETE CHARACTER SUMSHuaning Liu, Xiaobeng Zhang대한수학회 · 대한수학회지2010 · 제47권 제5호ON MIXED TWO-TERM EXPONENTIAL SUMSZhang Tianping대한수학회 · 대한수학회지2010 · 제47권 제6호
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