Hilbert cubes in arithmetic sets
Number Theory
2015-10-20 v1 Combinatorics
Abstract
We show upper bounds on the maximal dimension of Hilbert cubes in several sets of arithmetic interest such as the squares, powerful numbers and pure powers.
Cite
@article{arxiv.1510.05260,
title = {Hilbert cubes in arithmetic sets},
author = {Rainer Dietmann and Christian Elsholtz},
journal= {arXiv preprint arXiv:1510.05260},
year = {2015}
}
Comments
19 pages; to appear in Revista Matem\'atica Iberoamericana; this paper supersedes the earlier preprint arXiv:1207.1461