Distribution of the values of the derivative of the Dirichlet L-functions at its a-points

2015/03/10 by Mohamed Taïb Jakhlouti, Jakhlouti, Mohamed Taïb, Kamel Mazhouda +1
Mathematics · #Advanced Algebra and Geometry #Advanced Mathematical Identities #Analytic Number Theory Research #FOS: Mathematics #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.1503.03119

openalex publication_date 2015/03/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we study the value distribution of the derivative of a Dirichlet L-function L'(s,χ) at the a-points ρ_a,χ=β_a,χ+iγ_a,χ of L(s,χ). We give an asymptotic formula for the sum ∑_ρ_a,χ; 0

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