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arXiv · 1911.07369

Two explicit divisor sums

Michaela Cully-Hugill·Timothy Trudgian
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Abstract

We give explicit bounds on sums of $d(n)^2$ and $d_4(n)$, where $d(n)$ is the number of divisors of $n$ and $d_4(n)$ is the number of ways of writing $n$ as a product of four numbers. In doing so we make a slight improvement on the upper bound for class numbers of quartic number fields.

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Michaela Cully-Hugill, Timothy Trudgian. 2019-11-18. Two explicit divisor sums. https://doi.org/10.1007/s11139-020-00333-3

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