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

Aleksandar Ivic

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

Aleksandar Ivic

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Abstract

Several results are obtained concerning the function $Δ_k(x)$, 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 $Δ_2(x)$ is investigated in detail.

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BibTeX RIS

Aleksandar Ivic. 2005-10-06. On the integral of the error term in the Dirichlet divisor problem. https://arxiv.org/abs/math/0510114

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