# MathSciDoc: An Archive for Mathematician ∫

#### Number Theorymathscidoc:1701.24008

Arkiv for Matematik, 53, (2), 303-315, 2014.3
In two earlier papers with the same title, we studied connections between Voronoi’s formula in the divisor problem and Atkinson’s formula for the mean square of Riemann’s zeta-function. Now we consider this correspondence in terms of segments of sums appearing in these formulae and show that a certain arithmetic conjecture concerning the divisor function implies best possible bounds for the classical error terms Δ($x$) and$E$($T$).
@inproceedings{matti2014riemann’s,
title={Riemann’s zeta-function and the divisor problem. III},
author={Matti Jutila},
url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170108203640031599079},
booktitle={Arkiv for Matematik},
volume={53},
number={2},
pages={303-315},
year={2014},
}

Matti Jutila. Riemann’s zeta-function and the divisor problem. III. 2014. Vol. 53. In Arkiv for Matematik. pp.303-315. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170108203640031599079.