English

Cassels bases

Number Theory 2016-12-30 v1 Combinatorics

Abstract

This paper describes several classical constructions of thin bases of finite order in additive number theory, and, in particular, gives a complete presentation of a beautiful construction of J. W. S. Cassels of a class of polynomially asymptotic bases. Some open problems are also discussed.

Cite

@article{arxiv.0905.3144,
  title  = {Cassels bases},
  author = {Melvyn B. Nathanson},
  journal= {arXiv preprint arXiv:0905.3144},
  year   = {2016}
}

Comments

25 pages

R2 v1 2026-06-21T13:03:55.612Z