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...

Full description

Saved in:
Bibliographic Details
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!