On the integral of the error term in the Dirichlet divisor problem

On the integral of the error term in the Dirichlet divisor problem
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DOI:
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发表时间:
2005-10
期刊:
arXiv: Number Theory
影响因子:
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通讯作者:
A. Ivic
A. Ivic
中科院分区:
其他
文献类型:
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作者:
A. Ivic

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得到了关于函数$\Delta_k(x)$的几个结果,它代表一般Dirichlet除数问题中的误差项.这些包括该函数的积分估计,以及相应的均方积分。详细研究了$\Delta_2(x)$的均方积分。
Several results are obtained concerning the function $\Delta_k(x)$, which represents the error term in the general Dirichlet divisor problem. These include the estimates for the integral of this function, as well as for the corresponding mean square integral. The mean square integral of $\Delta_2(x)$ is investigated in detail.