English

Additive arithmetic functions meet the inclusion-exclusion principle, II

Number Theory 2021-12-28 v1

Abstract

We unify in a large class of additive functions the results obtained in the first part of this work. The proof rests on series involving the Riemann zeta function and certain sums of primes which may have their own interest.

Keywords

Cite

@article{arxiv.2112.13409,
  title  = {Additive arithmetic functions meet the inclusion-exclusion principle, II},
  author = {Olivier Bordellès and László Tóth},
  journal= {arXiv preprint arXiv:2112.13409},
  year   = {2021}
}

Comments

19 pages; comments are appreciated and welcome

R2 v1 2026-06-24T08:31:56.234Z