Bounds for the residue of Dedekind zeta functions under GRH and applications

Stephan Ramon Garcia, Loïc Grenié, Ethan Simpson Lee +1

Let ${\kappa }_{\mathbb{K}}$ be the residue at $1$ of the Dedekind zeta function of a number field $\mathbb{K}$. We prove explicit upper and lower bounds for ${\kappa }_{\mathbb{K}}$ under the Gen…