| Title |
Discrete approximation by a Dirichlet series connected to the Riemann zeta-function |
| Authors |
Laurinčikas, Antanas ; Šiaučiūnas, Darius |
| DOI |
10.3390/math9101073 |
| Full Text |
|
| Is Part of |
Mathematics.. Basel : MDPI. 2021, vol. 9, iss. 10, art. no. 1073, p. [1-11].. eISSN 2227-7390 |
| Keywords [eng] |
distribution function ; Riemann zeta-function ; Voronin universality theorem ; weak convergence |
| Abstract [eng] |
In the paper, a Dirichlet series ζuN(s) whose shifts ζuN(s+ikh), k=0,1,⋯, h>0, approximate analytic non-vanishing functions defined on the right-hand side of the critical strip is considered. This series is closely connected to the Riemann zeta-function. The sequence uN→∞ and uN≪N2 as N→∞. |
| Published |
Basel : MDPI |
| Type |
Journal article |
| Language |
English |
| Publication date |
2021 |
| CC license |
|
