2 papers
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…
math.NT2024
A segment of Euler product associated to a certain Dirichlet series
Rajat Gupta, Aditi Savalia
In the spirit of the work of Hardy-Littlewood and Lavrik, we study the Dirichlet series associated to the generalized divisor function . We obtain an exac…