On a Result of Hardy and Ramanujan

M. Avalin Charsooghi; Y. Azizi; M. Hassani; L. Mola-Zadeh Bidokhti

On a Result of Hardy and Ramanujan

Number Theory 2007-11-17 v2 General Mathematics

Authors: M. Avalin Charsooghi , Y. Azizi , M. Hassani , L. Mola-Zadeh Bidokhti

Abstract

In this paper, we introduce some explicit approximations for the summation $\sum_{k\leq n}\Omega(k)$ , where $\Omega(k)$ is the total number of prime factors of $k$ .

Keywords

Hardy and Ramanujan prime factors summation approximation Omega function number theory explicit approximations

Cite

@article{arxiv.0707.2139,
  title  = {On a Result of Hardy and Ramanujan},
  author = {M. Avalin Charsooghi and Y. Azizi and M. Hassani and L. Mola-Zadeh Bidokhti},
  journal= {arXiv preprint arXiv:0707.2139},
  year   = {2007}
}

Comments

Project Report. Accepted for publication in the Sarajevo Journal of Mathematics

On a Result of Hardy and Ramanujan

Abstract

Keywords

Cite

Comments

Related papers