Geodesic
On the universality of the zeta functions of certain cusp forms
Sbornik. Mathematics, Tome 213 (2022) no. 5, pp. 659-670

Voir la notice de l'article provenant de la source Math-Net.Ru

We consider a certain Dirichlet series associated with the zeta function of a normalized Hecke cusp form. It is absolutely convergent on the right of the critical strip. We obtain universality theorems on the approximation of a wide class of analytic functions by shifts of this series. Bibliography: 9 titles.
Keywords: zeta function of a cusp form, weak convergence, universality. 
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A. Laurinčikas. On the universality of the zeta functions of certain cusp forms. Sbornik. Mathematics, Tome 213 (2022) no. 5, pp. 659-670. http://geodesic.mathdoc.fr/item/SM_2022_213_5_a4/