Notes on universality in short intervals and exponential shifts-Reference-Cited by-同舟云学术

Notes on universality in short intervals and exponential shifts

Published:2024-04 Issue:2 Volume:64 Page:125-137
ISSN:0363-1672
Container-title:Lithuanian Mathematical Journal
language:en
Short-container-title:Lith Math J

Author:

Andersson Johan,Garunkštis Ramūnas,Kačinskaitė Roma^ORCID,Nakai Keita,Pańkowski Łukasz,Sourmelidis Athanasios^ORCID,Steuding Rasa,Steuding Jörn,Wananiyakul Saeree

Abstract

AbstractWe improve a recent universality theorem for the Riemann zeta-function in short intervals due to Antanas Laurinčikas 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 Laurinčikas in a problem session of a recent workshop on universality.

Publisher

Springer Science and Business Media LLC

Link

https://link.springer.com/content/pdf/10.1007/s10986-024-09631-5.pdf

Reference22 articles.

1. J. Andersson, Discrete universality, continuous universality and hybrid universality are equivalent, 2023, https://doi.org/10.48550/arxiv.2310.03619.

2. 2. R. Balasubramanian, An improvement on a theorem of Titchmarsh on the mean square of

3. J. Bourgain, Decoupling, exponential sums and the Riemann zeta function, J. Am. Math. Soc., 30(1):205–224, 2016, https://doi.org/10.1090/jams/860.

4. J. Bourgain and N. Watt, Decoupling for perturbed cones and the mean square of $$\left|\zeta \left(\frac{1}{2}+it\right)\right|$$, Int. Math. Res. Not., 2018(17):5219–5296, 2017, https://doi.org/10.1093/imrn/rnx009.

5. D.R. Heath-Brown, A new kth derivative estimate for exponential sums via Vinogradov’s mean value, Proc. Steklov Inst. Math., 296(1):88–103, 2017, https://doi.org/10.1134/s0081543817010072.

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