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

Autor:	Rassias, Michael Th.
Rok vydání:	2024
Předmět:	Mathematics - Number Theory
Druh dokumentu:	Working Paper
Popis:	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.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2409.00394 Zobrazit plný text záznamu View this record from Arxiv