The Largest Integer Expressible as a Sum of Reciprocal of Integers

Hisashi Yokota

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

LetM(n) be the largest integer that can be expressed as a sum of the reciprocal of distinct integers ≤n. Then for somec1,c2>0, log n+γ-2-(c1/log2 n)≤M(n)≤logn+γ-(c2/log2 n), which answers a question of Erdos.

Original languageEnglish
Pages (from-to)206-216
Number of pages11
JournalJournal of Number Theory
Volume76
Issue number2
DOIs
Publication statusPublished - 1999 Jun 1

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ASJC Scopus subject areas

  • Algebra and Number Theory

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