Value distribution of the Lerch zeta-function with algebraic irrational parameter. III
type: Item
instance of: scholarly article
title: Value distribution of the Lerch zeta-function with algebraic irrational parameter. III
zbMATH Open document ID: 1236.11079
author: Danutė Genienė
author: Antanas Laurinčikas
author: Renata Macaitienė
published in: Lithuanian Mathematical Journal
publication date: 2011-01-10T00:00:00Z
review text: From the text: We obtain a limit theorem in the sense of weak convergence of probability measures in the space of analytic functions for the Lerch zeta-function with algebraic irrational parameter. In Part I [\textit{V. Garbaliauskienė, D. Genienė} and \textit{A. Laurinčikas}, Lith. Math. J. 47, No. 2, 135--146 (2007; Zbl 1187.11028)], a limit theorem on the complex plane for \(L(\lambda,\alpha,s)\) with algebraic irrational parameter \(\alpha\) has been obtained, Part II [\textit{D. Genienė, A. Laurinčikas} and \textit{R. Macaitienė}, Lith. Math. J. 47, No. 4, 394--405 (2007)] contains its multidimensional version.
reviewed by: Olaf Ninnemann
Mathematics Subject Classification ID: 11M35
zbMATH DE Number: 5834356
zbMATH Keywords: Lerch zeta-function
zbMATH Keywords: probability measure
zbMATH Keywords: space of analytic functions
zbMATH Keywords: weak convergence
MaRDI profile type: Publication
full work available at URL: s10986-008-9012-x
OpenAlex ID: W2100613170
cites work: Q5560061
cites work: Footnote To a Note of Davenport and Heilbronn
cites work: Q4402191
cites work: Q5544740
cites work: Q4706965
cites work: A limit theorem for the Hurwitz zeta-function with an algebraic irrational parameter
DOI: 10.1007/S10986-008-9012-X
description: scientific article; zbMATH DE number 5834356