Limit theorems for the periodic Hurwitz zeta-function

Author:

Audronė RIMKEVIČIENĖ

AMS Classification:

11M41, 60B10, 60F05

Keywords:

Lerch zeta-function, probability measure, weak convergence

Abstract:

We prove limit theorems in the sense of the weak convergence of probability measures on the complex plane for the periodic Hurwitz zetafunction. Three cases (transcendental, rational and algebraic irrational) of the parameter are considered.

Download paper:

Rimk-2010

Vol. 5 (13), 2010