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

• 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
• ISSN: 1392-5113; 2335-8963

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.