Weighted joint limit theorems for general Dirichlet series

Authors:

Jonas GENYS, Renata MACAITIENĖ, Darius ŠIAUČIŪNAS

AMS Classification:

11M41, 60B10, 60F05

Keywords:

convergence in distribution, Dirichlet series, distribution, probability measure, weak convergence

Abstract:

In the paper, we prove weighted joint limit theorems in the sense of the weak convergence of probability measures on the complex plane for general Dirichlet series. Under some conditional hypothesis on the weight function, the explicit form of the limit measure is given.

Download paper:

genys&other-08.pdf

Vol. 3 (11), 2008