A Two-Dimentional Discrete Limit Theorem in the Space of Analytic Functions for Mellin Transforms of the Riemann Zeta-Function

In the paper, a two-dimentional discrete limit theorem in the sense of weak convergence of probability measures in the space of analytic functions for Mellin transforms of the Riemann zeta-function on the critical line is obtained.

Bibliographic Details
Main Authors:	V. Balinskaitė, V. Laurinčikas
Format:	Article
Language:	English
Published:	Vilnius University Press 2008-04-01
Series:	Nonlinear Analysis
Subjects:	limit theorem Mellin transform Riemann zeta-function weak convergence
Online Access:	http://www.journals.vu.lt/nonlinear-analysis/article/view/14576

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spelling	doaj-4ae855bf8196444a95107374f4e8221b2020-11-25T01:15:25ZengVilnius University PressNonlinear Analysis1392-51132335-89632008-04-0113210.15388/NA.2008.13.2.14576A Two-Dimentional Discrete Limit Theorem in the Space of Analytic Functions for Mellin Transforms of the Riemann Zeta-FunctionV. Balinskaitė0V. Laurinčikas1Vilnius University, LithuaniaVilnius University, Lithuania In the paper, a two-dimentional discrete limit theorem in the sense of weak convergence of probability measures in the space of analytic functions for Mellin transforms of the Riemann zeta-function on the critical line is obtained. http://www.journals.vu.lt/nonlinear-analysis/article/view/14576limit theoremMellin transformRiemann zeta-functionweak convergence
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	V. Balinskaitė V. Laurinčikas
spellingShingle	V. Balinskaitė V. Laurinčikas A Two-Dimentional Discrete Limit Theorem in the Space of Analytic Functions for Mellin Transforms of the Riemann Zeta-Function Nonlinear Analysis limit theorem Mellin transform Riemann zeta-function weak convergence
author_facet	V. Balinskaitė V. Laurinčikas
author_sort	V. Balinskaitė
title	A Two-Dimentional Discrete Limit Theorem in the Space of Analytic Functions for Mellin Transforms of the Riemann Zeta-Function
title_short	A Two-Dimentional Discrete Limit Theorem in the Space of Analytic Functions for Mellin Transforms of the Riemann Zeta-Function
title_full	A Two-Dimentional Discrete Limit Theorem in the Space of Analytic Functions for Mellin Transforms of the Riemann Zeta-Function
title_fullStr	A Two-Dimentional Discrete Limit Theorem in the Space of Analytic Functions for Mellin Transforms of the Riemann Zeta-Function
title_full_unstemmed	A Two-Dimentional Discrete Limit Theorem in the Space of Analytic Functions for Mellin Transforms of the Riemann Zeta-Function
title_sort	two-dimentional discrete limit theorem in the space of analytic functions for mellin transforms of the riemann zeta-function
publisher	Vilnius University Press
series	Nonlinear Analysis
issn	1392-5113 2335-8963
publishDate	2008-04-01
description	In the paper, a two-dimentional discrete limit theorem in the sense of weak convergence of probability measures in the space of analytic functions for Mellin transforms of the Riemann zeta-function on the critical line is obtained.
topic	limit theorem Mellin transform Riemann zeta-function weak convergence
url	http://www.journals.vu.lt/nonlinear-analysis/article/view/14576
work_keys_str_mv	AT vbalinskaite atwodimentionaldiscretelimittheoreminthespaceofanalyticfunctionsformellintransformsoftheriemannzetafunction AT vlaurincikas atwodimentionaldiscretelimittheoreminthespaceofanalyticfunctionsformellintransformsoftheriemannzetafunction AT vbalinskaite twodimentionaldiscretelimittheoreminthespaceofanalyticfunctionsformellintransformsoftheriemannzetafunction AT vlaurincikas twodimentionaldiscretelimittheoreminthespaceofanalyticfunctionsformellintransformsoftheriemannzetafunction
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A Two-Dimentional Discrete Limit Theorem in the Space of Analytic Functions for Mellin Transforms of the Riemann Zeta-Function

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