Discrete limit theorems for Estermann zeta-functions. I

• Date: 2018
• Main Authors: Laurincikas, Antanas, Macaitiene, Renata
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2018
• Subjects: compact topological group; Estermann zeta-function; Haar measure; probability measure; limit theorem; weak convergence; 11M41
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/870
• Journal Title: Algebra and Discrete Mathematics

A discrete limit theorem in the sense of weak convergence of probability measures on the complex plane for the Estermann zeta-function is obtained. The explicit form of the limit measure in this theorem is given.