Notes on universality in short intervals and exponential shifts

IF 0.5 4区数学 Q3 MATHEMATICS

Lithuanian Mathematical Journal Pub Date : 2024-05-09 DOI:10.1007/s10986-024-09631-5

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

引用次数: 0

Abstract

We 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.

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关于短区间普遍性和指数移动的说明

我们改进了安塔纳斯-劳林契卡斯（Antanas Laurinčikas）最近提出的短区间黎曼zeta函数的普遍性定理。此外，我们还证明了位移甚至可以呈指数增长。这项研究是由劳林奇卡斯在最近一次普遍性研讨会的问题环节中提出的两个问题引发的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Lithuanian Mathematical Journal 数学-数学

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The Lithuanian Mathematical Journal publishes high-quality original papers mainly in pure mathematics. This multidisciplinary quarterly provides mathematicians and researchers in other areas of science with a peer-reviewed forum for the exchange of vital ideas in the field of mathematics. The scope of the journal includes but is not limited to: Probability theory and statistics; Differential equations (theory and numerical methods); Number theory; Financial and actuarial mathematics, econometrics.