Unique representation bases for the integers
Number Theory
2015-06-26 v1 Combinatorics
Abstract
Arbitrarily sparse sets A of integers are constructed with the property that every integer can be represented uniquely in the form n = a + a', where a and a' belong to the set A and a < a' or a = a'. Some related open problems are stated.
Cite
@article{arxiv.math/0202137,
title = {Unique representation bases for the integers},
author = {Melvyn B. Nathanson},
journal= {arXiv preprint arXiv:math/0202137},
year = {2015}
}
Comments
10 pages