On sumfree subsets of hypercubes
Number Theory
2015-05-13 v2 Combinatorics
Abstract
We consider the possible sizes of large sumfree sets contained in the discrete hypercube , and we determine upper and lower bounds for the maximal size as becomes large. We also discuss a continuous analogue in which our lower bound remains valid and our upper bound can be strengthened, and we consider the generalization of both problems to -fold-sumfree sets.
Cite
@article{arxiv.0802.0182,
title = {On sumfree subsets of hypercubes},
author = {Daniel Katz},
journal= {arXiv preprint arXiv:0802.0182},
year = {2015}
}
Comments
18 pages, 4 figures; lower bound result corrected