2 papers
math.NT2026
Explicit conditional bounds for the residue of a Dedekind zeta-function at
Stephan Ramon Garcia, Loïc Grenié, Ethan Simpson Lee +1
We prove new explicit conditional bounds for the residue at of the Dedekind zeta-function associated to a number field. Our bounds are concrete and all constants are presente…
math.NT2025
New zero-free regions for Dedekind zeta-functions at small and large ordinates
Sourabhashis Das, Swati Gaba, Ethan Simpson Lee +2
Given a number field , we obtain new and explicit zero-free regions for Dedekind zeta-functions of , which refine the previous works of Ahn--Kwon, Kadiri, and…