Notes on Universality in Short Intervals and Exponential Shifts
Number Theory
2025-02-03 v2
Abstract
We improve a recent universality theorem for the Riemann zeta-function in short intervals due to Antanas Laurin\v{c}ikas with respect to the length of these intervals. Moreover, we prove that the shifts can even have exponential growth. This research was initiated by two questions proposed by Laurin\v cikas in a problem session of a recent workshop on universality.
Cite
@article{arxiv.2312.04255,
title = {Notes on Universality in Short Intervals and Exponential Shifts},
author = {Johan Andersson and Ramūnas Garunkštis and Roma Kačinskaitė and Keita Nakai and Łukasz Pańkowski and Athanasios Sourmelidis and Rasa Steuding and Jörn Steuding and Saeree Wananiyakul},
journal= {arXiv preprint arXiv:2312.04255},
year = {2025}
}
Comments
14 pages, 1 figure