This analysis reveals upper bounds on consecutive zeros in β-expansion, indicating properties of p-adic numbers.
The aim of this paper is to study the ?-expansion of p-adic numbers. In particular, we obtain an upper bound of strings of consecutive zeros in the ?-expansion of unity for an algebraic number ? in Qp such that |?|p > 1.
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M. Ghorbel (2025) studied this question.
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