Joint approximation of analytic functions by the shifts of Hurwitz zeta-functions in short intervals
In the article, we obtain that, for algebraically independent over Q{\mathbb{Q}} parameters α1,…,αr{\alpha }_{1},\ldots ,{\alpha }_{r}, there are infinitely many shifts (ζ(s+iτ,α1),…,ζ(s+iτ,αr))\left(\zeta \left(s+i\tau ,{\alpha }_{1}),\ldots ,\zeta \left(s+i\tau ,{\alpha }_{r})) of Hurwitz zeta-fun...
Saved in:
| Main Authors: | Laurinčikas Antanas, Šiaučiūnas Darius |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2025-08-01
|
| Series: | Open Mathematics |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/math-2025-0173 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
-
The Approximation of Analytic Functions Using Shifts of the Lerch Zeta-Function in Short Intervals
by: Antanas Laurinčikas
Published: (2025-06-01) -
A joint discrete limit theorem for Epstein and Hurwitz zeta-functions
by: Hany Gerges, et al.
Published: (2025-01-01) -
Fuzzy Subordination Results for Meromorphic Functions Associated with Hurwitz–Lerch Zeta Function
by: Ekram E. Ali, et al.
Published: (2024-11-01) -
Partial Sums of the Hurwitz and Allied Functions and Their Special Values
by: Nianliang Wang, et al.
Published: (2025-04-01) -
On Value Distribution for the Mellin Transform of the Fourth Power of the Riemann Zeta Function
by: Virginija Garbaliauskienė, et al.
Published: (2025-01-01)