English

Signed harmonic sums of integers with $k$ distinct prime factors

Number Theory 2020-12-08 v2

Abstract

We give some theoretical and computational results on "random" harmonic sums with prime numbers, and more generally, for integers with a fixed number of prime factors.

Keywords

Cite

@article{arxiv.1911.11969,
  title  = {Signed harmonic sums of integers with $k$ distinct prime factors},
  author = {Alessandro Gambini and Remis Tonon and Alessandro Zaccagnini},
  journal= {arXiv preprint arXiv:1911.11969},
  year   = {2020}
}

Comments

Improvement form previous version with an addendum by J. Benatar and A. Nishry