Two explicit divisor sums
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.
- Publication:
-
arXiv e-prints
- Pub Date:
- November 2019
- DOI:
- 10.48550/arXiv.1911.07369
- arXiv:
- arXiv:1911.07369
- Bibcode:
- 2019arXiv191107369C
- Keywords:
-
- Mathematics - Number Theory;
- 11N37;
- 11R29
- E-Print:
- doi:10.1007/s11139-020-00333-3