Benford's Law under Zeckendorf expansion
Number Theory
2023-09-04 v1
Abstract
In the literature, Benford's Law is considered for base-b expansions where b>1 is an integer. In this paper, we investigate the distribution of leading "digits" of a sequence of positive integers under other expansions such as Zeckendorf expansion, and declare what Benford's Law should be under generalized Zeckendorf expansion.
Cite
@article{arxiv.2309.00090,
title = {Benford's Law under Zeckendorf expansion},
author = {Sungkon Chang and Steven J. Miller},
journal= {arXiv preprint arXiv:2309.00090},
year = {2023}
}