Limit theorems for random Dirichlet series

Dariusz Buraczewski, Congzao Dong, Alexander Iksanov +1

We prove a functional limit theorem in a space of analytic functions for the random Dirichlet series $D(\alpha ;z)={\sum }_{n\ge 2}(\log n{)}^{\alpha }({\eta }_n+\mathrm{i}{\theta }_n)/n^z$, properly scaled and nor…