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arXiv · 2104.07137

The mean number of divisors for rough, dense and practical numbers

Andreas Weingartner
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Abstract

We give asymptotic estimates for the mean number of divisors of integers without small prime factors, integers with bounded ratios of consecutive divisors, and for practical numbers. In the last case, this confirms a conjecture of Margenstern.

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Andreas Weingartner. 2023-06-26. The mean number of divisors for rough, dense and practical numbers. https://arxiv.org/abs/2104.07137

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