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

研究成果: Article › 査読

3 被引用数 (Scopus)

抄録

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.

本文言語	English
ページ（範囲）	206-216
ページ数	11
ジャーナル	Journal of Number Theory
巻	76
号	2
DOI	https://doi.org/10.1006/jnth.1998.2359
出版ステータス	Published - 1999 6月
外部発表	はい

ASJC Scopus subject areas

代数と数論

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10.1006/jnth.1998.2359

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The Largest Integer Expressible as a Sum of Reciprocal of Integers

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