On a problem of Erdős and Graham

Hisashi Yokota

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

Let m(l)=min {n1 : 1 = Σi=1l 1 ni,n1 < n2 < ⋯ < n1}, where the minimum ranges over all sets {ni} of positive integers. Then there exists an increasing sequence of integers {lk} such that m(lk) lk ≦ (log log lk)3 which improves Erdo{combining double acute accent}s and Graham's result m(lk) lk ≦ (log lk)2.

Original languageEnglish
Pages (from-to)327-338
Number of pages12
JournalJournal of Number Theory
Volume39
Issue number3
DOIs
Publication statusPublished - 1991 Nov

ASJC Scopus subject areas

  • Algebra and Number Theory

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