| Title |
Universality of an absolutely convergent Dirichlet series with modifified shifts |
| Authors |
Laurinčikas, Antanas ; Macaitienė, Renata ; Šiaučiūnas, Darius |
| DOI |
10.55730/1300-0098.3279 |
| Full Text |
|
| Is Part of |
Turkish journal of mathematics.. Istanbul : Scientific and Technological Research Council of Turkey. 2022, vol. 46, no. 6, art. no. 27, p. 2440-2449.. ISSN 1300-0098. eISSN 1303-6149 |
| Keywords [eng] |
Haar measure ; Mergelyan theorem ; Riemann zeta-function ; universality ; weak convergence |
| Abstract [eng] |
In the paper, a theorem on approximation of a wide class of analytic functions by generalized shifts ζuT (s + iφ(τ )) of an absolutely convergent Dirichlet series ζuT (s) which in the mean is close to the Riemann zeta function is obtained. Here φ(τ ) is a monotonically increasing differentiable function having a monotonic continuous derivative such that φ(2τ ) max τ⩽t⩽2τ 1/φ′(t) ≪ τ as τ → ∞, and uT → ∞ and uT ≪ T2 as T → ∞. |
| Published |
Istanbul : Scientific and Technological Research Council of Turkey |
| Type |
Journal article |
| Language |
English |
| Publication date |
2022 |
| CC license |
|
