Collisions of digit sums in bases 2 and 3
Number Theory
2022-04-21 v2
Abstract
We prove a folklore conjecture concerning the sum-of-digits functions in bases two and three: there are infinitely many positive integers such that the sum of the binary digits of equals the sum of the ternary digits of .
Cite
@article{arxiv.2105.11173,
title = {Collisions of digit sums in bases 2 and 3},
author = {Lukas Spiegelhofer},
journal= {arXiv preprint arXiv:2105.11173},
year = {2022}
}
Comments
20 pages, accepted for publication in Israel J. Math