An improved lower bound for finite additive 2-bases

Research output: Contribution to journalArticleScientificpeer-review

3 Citations (Scopus)


A set of non-negative integers A is an additive 2-basis with range n, if its sumset A+A contains 0,1,…,n but not n+1. Explicit bases are known with arbitrarily large size |A|=k and n/k²≥2/7>0.2857. We present a more general construction and improve the lower bound to 85/294>0.2891.
Original languageEnglish
Pages (from-to)518–524
JournalJournal of Number Theory
Publication statusPublished - May 2017
MoE publication typeA1 Journal article-refereed


  • Finite additive basis
  • Additive number theory


Dive into the research topics of 'An improved lower bound for finite additive 2-bases'. Together they form a unique fingerprint.

Cite this