English

An integral representation of divisor function. An equation for prime numbers

Number Theory 2011-09-19 v1

Abstract

A representation of divisor function τ(n)σ0(n)\tau(n)\equiv \sigma_{0}(n) by means of logarithmic residue of a function of complex variable is suggested. This representation may be useful theoretical instrument for further investigations of properties of natural numbers.

Keywords

Cite

@article{arxiv.1109.3580,
  title  = {An integral representation of divisor function. An equation for prime numbers},
  author = {E. E. Kholupenko},
  journal= {arXiv preprint arXiv:1109.3580},
  year   = {2011}
}

Comments

5 text pages, 2 figures

R2 v1 2026-06-21T19:05:52.842Z