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arXiv · 1812.09950

New upper bounds for the number of divisors function

Jean-Marie De Koninck·Patrick Letendre
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Abstract

Let $τ(n)$ stand for the number of divisors of the positive integer $n$. We obtain upper bounds for $τ(n)$ in terms of $\log n$ and the number of distinct prime factors of $n$.

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Jean-Marie De Koninck, Patrick Letendre. 2018-12-24. New upper bounds for the number of divisors function. https://arxiv.org/abs/1812.09950

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