English

Problems in additive number theory, V: Affinely inequivalent MSTD sets

Number Theory 2021-01-06 v3

Abstract

An MSTD set is a finite set of integers with more sums than differences. It is proved that, for infinitely many positive integers kk, there are infinitely many affinely inequivalent MSTD sets of cardinality kk. There are several related open problems.

Keywords

Cite

@article{arxiv.1609.01700,
  title  = {Problems in additive number theory, V: Affinely inequivalent MSTD sets},
  author = {Melvyn B. Nathanson},
  journal= {arXiv preprint arXiv:1609.01700},
  year   = {2021}
}

Comments

11 pages; minor corrections

R2 v1 2026-06-22T15:41:42.942Z