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Universality of an absolutely convergent Dirichlet series with modified shifts.
- Source :
- Turkish Journal of Mathematics; 2022, Vol. 46 Issue 6, p2440-2449, 10p
- Publication Year :
- 2022
-
Abstract
- In the paper, a theorem on approximation of a wide class of analytic functions by generalized shifts uT (s + if(t )) of an absolutely convergent Dirichlet series uT (s) which in the mean is close to the Riemann zetafunction is obtained. Here f(t) is a monotonically increasing differentiable function having a monotonic continuous derivative such that f(2t) max tt2t 1 f'(t) « t as t 8, and uT 8 and uT « T2 as T 8. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 13000098
- Volume :
- 46
- Issue :
- 6
- Database :
- Complementary Index
- Journal :
- Turkish Journal of Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 158502544
- Full Text :
- https://doi.org/10.55730/1300-0098.3279