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arxiv: 1401.7530 · v1 · pith:OIZIP7XVnew · submitted 2014-01-29 · 🧮 math.DS

Beta-expansions of p-adic numbers

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keywords adicbeta-expansionsnumbersarticlecharacteriseeventuallyexpansionsfinite
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In the present article, we introduce beta-expansions in the ring $\mathbb{Z}_p$ of $p$-adic integers. We characterise the sets of numbers with eventually periodic and finite expansions.

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