The integrated fourth moment of Dirichlet \(L\)-functions over rational function fields
type: Item
instance of: scholarly article
title: The integrated fourth moment of Dirichlet \(L\)-functions over rational function fields
zbMATH Open document ID: 1464.11095
author: Goran Djankovic
author: Dragan Đokić
author: Nikola Lelas
author: Ilija Vrećica
published in: Journal of Number Theory
publication date: 2020-10-07T00:00:00Z
review text: The moments for families of \(L\)- functions is one of central problems. In the paper, hybrid (in both \(q\)- and \(t\)-aspect) fourth moment of Dirichlet \(L\)-functions over rational function fields \({\mathbb{F}}_q[t]\) are studied. This moment over primitive Dirichlet characters modulo polynomial \(Q\) and then over the whole critical circle (corresponding to the critical line in number field setting) is investigated. An asymptotic formula (with the leading four terms) for any monic polynomial and exact moment formula for irreducible monic polynomial, respectively, are given. As corollary, the shifted fourth moments are obtained.
reviewed by: Roma Kačinskaitė
Mathematics Subject Classification ID: 11M38
Mathematics Subject Classification ID: 11T06
Mathematics Subject Classification ID: 11M50
Mathematics Subject Classification ID: 14G10
Mathematics Subject Classification ID: 11T55
zbMATH DE Number: 7257233
zbMATH Keywords: Dirichlet \(L\)-functions
zbMATH Keywords: moments of \(L\)-functions
zbMATH Keywords: function fields
zbMATH Keywords: finite fields
zbMATH Keywords: random matrix theory
MaRDI profile type: Publication
full work available at URL: j.jnt.2020.07.001
OpenAlex ID: W3048635028
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DOI: 10.1016/J.JNT.2020.07.001
description: scientific article; zbMATH DE number 7257233