New zero-free regions for Dedekind zeta-functions at small and large ordinates
New zero-free regions for Dedekind zeta-functions at small and large ordinates
Given a number field $L\neq \mathbb{Q}$, we obtain new and explicit zero-free regions for Dedekind zeta-functions of $L$, which refine the previous works of Ahn--Kwon, Kadiri, and Lee. In particular, for low-lying zeros, we extend Kadiri's result to all number fields while improving the main constant.
Swati Gaba、Ethan Simpson Lee、Aditi Savalia、Peng-Jie Wong、Sourabhashis Das
数学
Swati Gaba,Ethan Simpson Lee,Aditi Savalia,Peng-Jie Wong,Sourabhashis Das.New zero-free regions for Dedekind zeta-functions at small and large ordinates[EB/OL].(2025-06-24)[2025-07-09].https://arxiv.org/abs/2506.19319.点此复制
评论