Discrete limit theorems for Estermann zeta-functions. I

• Datum: 2018
• Hauptverfasser: Laurincikas, Antanas, Macaitiene, Renata
• Format: Artikel
• Sprache: English
• Veröffentlicht: Lugansk National Taras Shevchenko University 2018
• Schlagworte: compact topological group; Estermann zeta-function; Haar measure; probability measure; limit theorem; weak convergence; 11M41
• Online Zugang: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/870
• Назва журналу: 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.