Affiliation:
1. Institute of Mathematics Faculty of Mathematics and Informatics Vilnius University Naugarduko str. 24 Vilnius Lithuania
2. Institute of Regional Development Šiauliai Academy Vilnius University Vytauto str. 84 Šiauliai Lithuania
Abstract
Abstract
In this paper, we consider universality in short intervals for the zeta-function attached to a normalized Hecke-eigen cusp form with respect to the modular group. For this, we apply a conjecture for the mean square in short interval on the critical strip for that zeta-function. The proof of the obtained universality theorem is based on a probabilistic limit theorem in the space of analytic functions.