Perfect powers with few digits in a canonical number system

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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Publication Details

Journal
Mathematika
Published
2025-08-28
DOI
https://doi.org/10.1112/mtk.70044
Primary Topic
Algebraic Geometry and Number Theory
Type
article
Field-Weighted Citation Impact
0.00
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article

Perfect powers with few digits in a canonical number system

István Pink, Attila Bérczes, Attila Pethő
Mathematika
Algebraic Geometry and Number Theory
article

Perfect powers with few digits in a canonical number system

István Pink, Attila Bérczes, Attila Pethő
article en

Abstract

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.

MathematikaVol. 71(4)
University of Debrecen (HU)
Openalex Percentile: Top 72%
Algebraic Geometry and Number Theory
DOISourceOpenAlex
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Perfect powers with few digits in a canonical number system — István Pink, Attila Bérczes, et al. · Mathematika (2025) | TGRS Research Map | TGRS