Categorifying quadratic zeta functions
Number Theory
2022-05-16 v1
Abstract
The Dedekind zeta function of a quadratic number field factors as a product of the Riemann zeta function and the -function of a quadratic Dirichlet character. We categorify this formula using objective linear algebra in the abstract incidence algebra of the division poset.
Cite
@article{arxiv.2205.06298,
title = {Categorifying quadratic zeta functions},
author = {Jon Aycock and Andrew Kobin},
journal= {arXiv preprint arXiv:2205.06298},
year = {2022}
}
Comments
27 pages