N-graphs, modular Sidon and sum-free sets, and partition identities
Number Theory
2007-05-23 v2 Combinatorics
Abstract
Using a new graphical representation for partitions, the author obtains a family of partition identities associated with partitions into distinct parts of an arithmetic progression, or, more generally, with partitions into distinct parts of a set that is a finite union of arithmetic progressions associated with a modular sum-free Sidon set. Partition identities are also constructed for sets associated with modular sum-free sets.
Keywords
Cite
@article{arxiv.math/0002173,
title = {N-graphs, modular Sidon and sum-free sets, and partition identities},
author = {Melvyn B. Nathanson},
journal= {arXiv preprint arXiv:math/0002173},
year = {2007}
}
Comments
9 pages. To appear in The Ramanujan Journal