On joint discrete universality of the Riemann zeta-function in short intervals
DOI: https://doi.org/10.3846/mma.2023.18884Abstract
In the paper, we prove that the set of discrete shifts of the Riemann zeta-function 
approximating analytic nonvanishing functions f1(s),...,fr(s) defined on 
has a positive density in the interval [N,N + M] with 
with real algebraic numbers a1,...,ar linearly independent over Q. A similar result is obtained for shifts of certain absolutely convergent Dirichlet series.
Keywords:
Riemann zeta-function, universality, weak convergenceHow to Cite
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