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arXiv · 2409.00394

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

Michael Th. Rassias
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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.

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Michael Th. Rassias. 2024-08-31. The behaviour of a certain additive function in large intervals between consecutive primes. https://arxiv.org/abs/2409.00394

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