Izvorni znanstveni članak
https://doi.org/10.21857/m3v76t1g4y
β-expansion of p-adic numbers with Pisot-Chabauty bases
Marwa Ghorbel
; Faculté des Sciences de Sfax, Département de Mathematiques, BP 1171, Sfax 3000, Tunisia
Rim Ghorbel
; Faculté des Sciences de Sfax, Département de Mathematiques, BP 1171, Sfax 3000, Tunisia
Mohamed Hbaib
; Faculté des Sciences de Sfax, Département de Mathematiques, BP 1171, Sfax 3000, Tunisia
Sažetak
The aim of this paper is to study some arithmetic properties about the finiteness and the periodicity of the β-expansion of p-adic numbers. We prove that if the β-expansion of unity or rationals verifies some conditions then β is a Pisot-Chabauty number.
Ključne riječi
p-adic numbers; β-expansion; PC number
Hrčak ID:
326518
URI
Datum izdavanja:
9.1.2025.
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