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

Aleksandar Ivic

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

Number Theory 2007-05-23 v1

Authors: Aleksandar Ivic

Abstract

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.

Keywords

divisor function stochastic integrals special functions

Cite

@article{arxiv.math/0510114,
  title  = {On the integral of the error term in the Dirichlet divisor problem},
  author = {Aleksandar Ivic},
  journal= {arXiv preprint arXiv:math/0510114},
  year   = {2007}
}

Comments

15 pages

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