English

On a problem of Nathanson

Number Theory 2022-01-27 v1 Combinatorics

Abstract

A set AA of nonnegative integers is an asymptotic basis of order hh if every sufficiently large integer can be represented as the sum of hh integers (not necessarily distinct) of AA. An asymptotic basis AA of order hh is minimal if no proper subset of AA is an asymptotic basis of order hh. In this paper, we resolve a problem of Nathanson on minimal asymptotic bases of order hh.

Cite

@article{arxiv.1711.00174,
  title  = {On a problem of Nathanson},
  author = {Yong-Gao Chen and Min Tang},
  journal= {arXiv preprint arXiv:1711.00174},
  year   = {2022}
}

Comments

8 pages

R2 v1 2026-06-22T22:32:27.033Z