The Largest Integer Expressible as a Sum of Reciprocal of Integers

Hisashi Yokota

doi:10.1006/jnth.1998.2359

The Largest Integer Expressible as a Sum of Reciprocal of Integers

Hisashi Yokota

Research output: Contribution to journal › Article › peer-review

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 language	English
Pages (from-to)	206-216
Number of pages	11
Journal	Journal of Number Theory
Volume	76
Issue number	2
DOIs	https://doi.org/10.1006/jnth.1998.2359
Publication status	Published - 1999 Jun
Externally published	Yes

ASJC Scopus subject areas

Algebra and Number Theory

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10.1006/jnth.1998.2359

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title = "The Largest Integer Expressible as a Sum of Reciprocal of Integers",

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.",

author = "Hisashi Yokota",

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AB - 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.

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EP - 216

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The Largest Integer Expressible as a Sum of Reciprocal of Integers

Abstract

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