A generalized divisor problem and the sum of Chowla and Walum
A generalized divisor problem and the sum of Chowla and Walum
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广义除数问题以及 Chowla 和 Walum 之和
DOI：
10.1016/j.jmaa.2012.11.027
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发表时间：
2013
期刊：
影响因子：
--
通讯作者：
W. Zhai
中科院分区：
文献类型：
--
作者：
X. Cao;J. Furuya;Y. Tanigawa;W. Zhai
利用Chowla和Walum的和，导出了广义除数问题中含误差项Δa（x）的积分的显式表示.我们给出了一个新的估计的总和Chowla和Walum。我们还用初等方法导出了Δa（x）均值中误差项的均方的渐近公式。
We derive the explicit representation of the integral involving the error term Δa(x) in a generalized divisor problem by using the sum of Chowla and Walum. We give a new estimate of the sum of Chowla and Walum. We also derive an asymptotic formula for the mean square of the error term in the mean value of Δa(x) by an elementary method.