English

Beta-expansions of $p$-adic numbers

Dynamical Systems 2019-02-20 v1

Abstract

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

Keywords

Cite

@article{arxiv.1401.7530,
  title  = {Beta-expansions of $p$-adic numbers},
  author = {Klaus Scheicher and Victor F. Sirvent and Paul Surer},
  journal= {arXiv preprint arXiv:1401.7530},
  year   = {2019}
}
R2 v1 2026-06-22T02:57:05.846Z