Expansions in multiple bases over general alphabets
Combinatorics
2021-02-22 v1 Number Theory
Abstract
Expansions in non-integer bases have been extensively investigated since a pioneering work of R\'enyi. We introduce a more general framework of alphabet-base systems that also includes Pedicini's general alphabets and the multiple-base expansions of Neunh\"auserer and Li. We extend the Parry type lexicographic theory to this setup, and we improve and generalize various former results on unique expansions.
Cite
@article{arxiv.2102.10051,
title = {Expansions in multiple bases over general alphabets},
author = {Yuru Zou and Vilmos Komornik and Jian Lu},
journal= {arXiv preprint arXiv:2102.10051},
year = {2021}
}
Comments
20 pages