SU\G(𝔸)/K·U

The behaviour of a certain additive function in large intervals between consecutive primes

Michael Th. Rassias

Type: Preprint

Publication Date: 2024-08-31

Citations: 0

DOI: https://doi.org/10.48550/arxiv.2409.00394

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.

Locations

  • arXiv (Cornell University) - View - PDF

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