carpathian_2023_39_1_175_187_001

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


Korolev, Maxim and Laurinčikas, Antanas


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carpathian_2023_39_1_175_187

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.

 

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Author(s)

Korolev, Maxim, Laurinčikas, Antanas

DOI

https://doi.org/10.37193/CJM.2023.01.11