English

Problems in additive number theory, VI: Sizes of sumsets

Number Theory 2025-10-28 v5 Group Theory

Abstract

This paper describes problems concerning the range of cardinalities of sumsets and restricted sumsets of finite subsets of the integers and finite subsets of ordered abelian groups.

Keywords

Cite

@article{arxiv.2411.02365,
  title  = {Problems in additive number theory, VI: Sizes of sumsets},
  author = {Melvyn B. Nathanson},
  journal= {arXiv preprint arXiv:2411.02365},
  year   = {2025}
}

Comments

19 pages; significant improvements