Non-vanishing of Dirichlet L-functions with smooth conductors

2024/10/02 by Sun-Kai Leung, Leung, Sun-Kai
Mathematics · #11L05 #11L07 #11M20 #Analytic Number Theory Research #FOS: Mathematics #Number Theory (math.NT) #Spectral Theory in Mathematical Physics #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.2410.01713

openalex publication_date 2024/10/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Given a large, square-free, smooth conductor, we establish the non-vanishing of the central values for at least 35.9% of the primitive Dirichlet L-functions.

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