On the transcendence of power towers of Liouville numbers

IF 0.5 4区数学 Q3 MATHEMATICS

Indagationes Mathematicae-New Series Pub Date : 2024-03-01 DOI:10.1016/j.indag.2023.11.002

Diego Marques , Marcelo Oliveira , Pavel Trojovský

引用次数: 0

Abstract

In this paper, among other things, we explicit a $G_{δ}$ -dense set of Liouville numbers, for which the triple power tower of any of its elements is a transcendental number.

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论刘维尔数的动力塔超越性

在本文中，除其他内容外，我们明确了一个柳维尔数的 Gδ 密集，对它来说，其任意元素的三重幂塔都是一个超越数。

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

Indagationes Mathematicae-New Series 数学-数学

CiteScore

1.20

自引率

16.70%

发文量

审稿时长

79 days

期刊介绍： Indagationes Mathematicae is a peer-reviewed international journal for the Mathematical Sciences of the Royal Dutch Mathematical Society. The journal aims at the publication of original mathematical research papers of high quality and of interest to a large segment of the mathematics community. The journal also welcomes the submission of review papers of high quality.