Discrete limit theorems for Estermann zeta-functions. I

Antanas Laurincikas, Renata Macaitiene

Abstract


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.


Keywords


compact topological group, Estermann zeta-function, Haar measure, probability measure, limit theorem, weak convergence

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