Rad HAZU, Matematičke znanosti, Vol. 29 (2025), 117-128.

β-EXPANSION OF p-ADIC NUMBERS WITH PISOT-CHABAUTY BASES

Marwa Ghorbel, Rim Ghorbel and Mohamed Hbaib

Abstract.   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.

2020 Mathematics Subject Classification.   11R06, 37B50.

Key words and phrases.   p-adic numbers, β-expansion, PC number.

DOI: https://doi.org/10.21857/m3v76t1g4y

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