Categorifying quadratic zeta functions

Published 12 May 2022 in math.NT | (2205.06298v1)

Abstract: The Dedekind zeta function of a quadratic number field factors as a product of the Riemann zeta function and the $L$-function of a quadratic Dirichlet character. We categorify this formula using objective linear algebra in the abstract incidence algebra of the division poset.

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