English

Diversity, equity, and inclusion for problems in additive number theory

Number Theory 2026-04-23 v4 Combinatorics

Abstract

This is a survey of the diversity of problems in additive number theory. Equity requires the consideration of less currently popular problems, and suggests their inclusion in the additive canon. Of particular interest are problems about the sizes of sumsets of finite sets of integers and problems about the arithmetical structure of intersections of sumsets.

Keywords

Cite

@article{arxiv.2603.15556,
  title  = {Diversity, equity, and inclusion for problems in additive number theory},
  author = {Melvyn B. Nathanson},
  journal= {arXiv preprint arXiv:2603.15556},
  year   = {2026}
}

Comments

10 pages, minor corrections and improvements

R2 v1 2026-07-01T11:22:42.317Z