The behaviour of a certain additive function in large intervals between consecutive primes
Number Theory
2024-09-04 v1
Abstract
We investigate the behaviour of a certain additive function depending on prime divisors of specific integers lying in large gaps between consecutive primes. The result is obtained by a combination of results and ideas related to large gaps between primes and the Erd\"os-Kac theorem, especially the Kubilius model from Probabilistic Number Theory.
Cite
@article{arxiv.2409.00394,
title = {The behaviour of a certain additive function in large intervals between consecutive primes},
author = {Michael Th. Rassias},
journal= {arXiv preprint arXiv:2409.00394},
year = {2024}
}