On the Zeckendorf representation of smooth numbers
Number Theory
2019-09-10 v1
Abstract
Among other results, we establish, in a quantitative form, that any sufficiently large integer cannot simultaneously be divisible only by very small primes and have very few digits in its Zeckendorf representation.
Cite
@article{arxiv.1909.03863,
title = {On the Zeckendorf representation of smooth numbers},
author = {Yann Bugeaud},
journal= {arXiv preprint arXiv:1909.03863},
year = {2019}
}
Comments
13 pages, comments welcome