English

A note on the distribution of $d_3(n)$ in arithmetic progressions

Number Theory 2024-09-04 v1

Abstract

Nguyen has shown that on averaging over a=1,...,qa=1,...,q the 3-fold divisor function has exponent of distribution 2/3, following \cite {banks}. We follow [2] which leads to stronger bounds.

Keywords

Cite

@article{arxiv.2409.00428,
  title  = {A note on the distribution of $d_3(n)$ in arithmetic progressions},
  author = {Tomos Parry},
  journal= {arXiv preprint arXiv:2409.00428},
  year   = {2024}
}

Comments

To be published in the Ramanujan journal

R2 v1 2026-06-28T18:29:54.404Z