Extreme values of arg L(1,χ)

2010/05/24 by Youness Lamzouri, Lamzouri, Youness
Mathematics · #11M06 #11M20 #Algebraic Geometry and Number Theory #Analytic Number Theory Research #FOS: Mathematics #Meromorphic and Entire Functions #Number Theory (math.NT) #math.NT #msc:11M06 #msc:11M20

paper · pdf · doi:10.48550/arxiv.1005.4425

20 pages. To appear in Acta Arithmetica

arxiv created 2010/05/24 · openalex publication_date 2010/05/24 · arxiv updated 2010/05/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we study the distribution of extreme values of arg L(1,χ), as χ varies over primitive characters modulo a large prime q.

Related

• The distribution of values of L(1,chi_d)
• An asymptotic distribution for |L^′/L(1,χ)|
• Extreme values of quadratic Dirichlet L-functions with prime-related moduli
• Refined Upper Bounds for L(1,χ)
• The First Moment of Dirichlet L-functions over Generators of the Character Group