Year: 2026
Type: preprint
Abstract: We prove that, for every sufficiently large modulus $q\not\equiv2\bmod4$, at least $3/8-o(1)$ of the primitive Dirichlet characters $χ$ modulo $q$ have $L(1/2,χ)\ne0$. We also establish stronger proportions for moduli $q$ satisfying certain arithmetic conditions.
Source: arXiv (Cornell University)
Authors: Durkan, Benjamin, Pearce-Crump, Andrew
Institution: University of Bristol
Language: English
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7212072992