Joint approximation of analytic functions by shifts of the Riemann zeta-function twisted by the Gram function

Korolev, Maxim and Laurinčikas, Antanas

Full PDF


In the paper, we consider the simultaneous approximation of a collection of analytic functions by a collection of shifts of the Riemann zeta-function (\zeta(s+it_\tau^{\alpha_1}), \dots, \zeta(s+it_\tau^{\alpha_r})), where t_\tau is the Gram function and \alpha_1, \dots, \alpha_r are different positive numbers. It is obtained that the set of such shifts has a positive lower density.


Additional Information


Korolev, Maxim, Laurinčikas, Antanas