几个关于 Hardy 和与 Kloosterman 和的恒等式
궤개관우 Hardy 화여 Kloosterman 화적항등식
Some identities involving certain Hardy sums and Kloosterman sums
  • 万方数据
    纺织高校基础科学学报 방직고교기출과학학보
    BASIC SCIENCES JOURNAL OF TEXTILE UNIVERSITIES
    2015年 2期 154-158 ,共5页

    彭文%马元魁%张天平

    팽문%마원괴%장천평

    Hardy和%Kloosterman和%高斯和%混合均值 Hardy和%Kloosterman和%高斯和%混閤均值
    Hardy화%Kloosterman화%고사화%혼합균치
    Hardy sums%Kloosterman sums%Gauss sums%hybrid mean value
    利用高斯和的性质与Dirichlet L‐函数的均值定理研究了一类 Hardy和与Kloosterman和的混合均值问题。在一定条件下给出两个关于 Hardy和与Kloosterman和的混合均值的精确计算公式，所得结果揭示了一定的相消性。
    이용고사화적성질여Dirichlet L‐함수적균치정리연구료일류 Hardy화여Kloosterman화적혼합균치문제。재일정조건하급출량개관우 Hardy화여Kloosterman화적혼합균치적정학계산공식，소득결과게시료일정적상소성。
    By using the properties of Gauss sums and the mean value theorem of the Dirichlet L‐function ,a hybrid mean value problem involving certain Hardy sums and Kloosterman sums was studied .Then two exact computational formulae for hybrid mean value problem involving certain Hardy sums and Kloosterman sums are given under certain conditions ,through w hich the cancellation phenomenon is revealed .
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