The weighted mean of generalized homogeneous Cochrane sum is studied.By using the properties of character sum over the incomplete intervals , mean value estimate of Dirichlet L-functions ,and the periodic Bernoulli polynomial,some related asymptotic formulas are obtained.% 研究了广义齐性Cochrane 和的一些加权均值,并利用不完全区间上特征和的性质, Dirichlet 函数的均值估计以及周期Bernoulli 多项式的性质,得到一些较强的渐近公式。
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