Value-distribution of twisted automorphic \(L\) -functions
type: Item
instance of: scholarly article
title: Value-distribution of twisted automorphic \(L\) -functions
zbMATH Open document ID: 1143.11321
author: Alesia Kolupayeva
author: Antanas Laurinčikas
published in: Lithuanian Mathematical Journal
publication date: 2008-09-22T00:00:00Z
review text: The paper is devoted to the limit theorem in the sense of the weakly convergent probability measures for the twisted with Dirichlet character automorphic \(L\)-functions, when the modulus of character increases. The obtained result valid only in the region of absolute convergence of the Dirichlet series for the twisted \(L\)-functions associated to the holomorphic normalized Hecke eigen cusp form of weight \(\kappa\) for the full modular group \(SL(2,\mathbb Z)\).
reviewed by: Roma Kačinskaitė
Mathematics Subject Classification ID: 11F66
Mathematics Subject Classification ID: 11M41
zbMATH DE Number: 5345637
zbMATH Keywords: Dirichlet \(L\)-function
zbMATH Keywords: normalized eigenform
zbMATH Keywords: twisted \(L\)-function
zbMATH Keywords: weak convergence
MaRDI profile type: Publication
full work available at URL: s10986-008-9004-x
OpenAlex ID: W2088383392
cites work: Q5805089
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cites work: Q5626772
cites work: On the distribution of argL(s,χ) in the half-plane σ > ½
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cites work: Value distribution of \(L\)-functions
DOI: 10.1007/S10986-008-9004-X
description: scientific article; zbMATH DE number 5345637