English

On a problem of Dobrowolski--Williams

Number Theory 2011-07-05 v1

Abstract

In this paper we prove new upper bounds for the sum n=a+1a+Nf(n)\sum_{n=a+1}^{a+N}f(n), for a certain class of arithmetic functions ff. Our results improve the previous results of G. Bachman and L. Rachakonda.

Keywords

Cite

@article{arxiv.1107.0382,
  title  = {On a problem of Dobrowolski--Williams},
  author = {Dmitriy Frolenkov},
  journal= {arXiv preprint arXiv:1107.0382},
  year   = {2011}
}

Comments

14 pages

R2 v1 2026-06-21T18:30:58.488Z