Generalized Sidon sets
Number Theory
2009-09-29 v1 Combinatorics
Abstract
We give asymptotic sharp estimates for the cardinality of a set of residue classes with the property that the representation function is bounded by a prescribed number. We then use this to obtain an analogous result for sets of integers, answering an old question of Simon Sidon.
Cite
@article{arxiv.0909.5024,
title = {Generalized Sidon sets},
author = {Javier Cilleruelo and Imre Z. Ruzsa and Carlos Vinuesa},
journal= {arXiv preprint arXiv:0909.5024},
year = {2009}
}
Comments
21 pages, no figures