Fibonacci Expansions
Number Theory
2021-02-25 v1
Abstract
Expansions in the Golden ratio base have been studied since a pioneering paper of R\'enyi more than sixty years ago. We introduce closely related expansions of a new type, based on the Fibonacci sequence, and we show that in some sense they behave better.
Cite
@article{arxiv.2102.12410,
title = {Fibonacci Expansions},
author = {Claudio Baiocchi and Vilmos Komornik and Paola Loreti},
journal= {arXiv preprint arXiv:2102.12410},
year = {2021}
}
Comments
8 pages