Beta-expansions of $p$-adic numbers

Autor: Scheicher, Klaus, Sirvent, Victor F., Surer, Paul
Rok vydání: 2014
Předmět:
Zdroj: Ergod. Th. Dynam. Sys. 36 (2016) 924-943
Druh dokumentu: Working Paper
DOI: 10.1017/etds.2014.84
Popis: 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.
Databáze: arXiv