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The mean value involving Dedekind sums and two-term exponential sums 被引量:2

The mean value involving Dedekind sums and two-term exponential sums
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摘要 In this paper,we use the analytic methods to study the mean value properties involving the classical Dedekind sums and two-term exponential sums,and give two sharper asymptotic formulae for it. In this paper,we use the analytic methods to study the mean value properties involving the classical Dedekind sums and two-term exponential sums,and give two sharper asymptotic formulae for it.
出处 《Science China Mathematics》 SCIE 2012年第3期557-565,共9页 中国科学:数学(英文版)
基金 supported by National Natural Science Foundation of China (Grant No.11071194)
关键词 Dedekind sums two-term exponential sums mean value asymptotic formula Dedekind和 平均值 均值性质 渐近公式 指数和
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  • 1Chalk,J. H. H.On Hua’s estimate for exponential sums[].Mathematika.1987
  • 2Weil,A.On some exponential sums, Proc.Nat. Acad[].Sci USA.1948
  • 3Ding,P.An improvement to Chalk’ s estimation of exponential sums[].Acta Arithmetica.1991
  • 4Loh,W. K. A.Hua’s Lemma, Bull[].Australian Math Soc.1994
  • 5Hua,L. K.On exponential sums, Sci.Record (Peking) (N[].S).1957

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