Perfect powers with few digits in a canonical number system

IF 0.8 3区数学 Q2 MATHEMATICS

Mathematika Pub Date : 2025-08-28 DOI:10.1112/mtk.70044

Attila Bérczes, Attila Pethő, István Pink

引用次数: 0

Abstract

Extending results of Szalay, Bennett, Bugeaud and Mignotte in this paper, we prove finiteness results concerning perfect powers having two or three digits in their representation in a canonical number system of the equation order of an algebraic number field.

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标准数制中几个数字的完全幂

推广了Szalay， Bennett， Bugeaud和Mignotte的结果，证明了在代数数域的方程阶正则数系中具有二位数或三位数的完全幂的有限性结果。

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

Mathematika MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

1.40

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Mathematika publishes both pure and applied mathematical articles and has done so continuously since its founding by Harold Davenport in the 1950s. The traditional emphasis has been towards the purer side of mathematics but applied mathematics and articles addressing both aspects are equally welcome. The journal is published by the London Mathematical Society, on behalf of its owner University College London, and will continue to publish research papers of the highest mathematical quality.