Length and denominators of egyptian fractions, III

Gérald Tenenbaum; Hisashi Yokota

doi:10.1016/0022-314X(90)90109-5

Length and denominators of egyptian fractions, III

Gérald Tenenbaum, Hisashi Yokota

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研究成果: Article › 査読

2 被引用数 (Scopus)

抄録

We show that for large N every rational number a N ∈]0, 1[ has an egyptian fraction expansion a N = ∑ j=1 r 1 n_j where r ≤ (1 + o(1)) log N log₂N and n_r ≤ 4N log²N log₂N. This is essentially best possible.

本文言語	English
ページ（範囲）	150-156
ページ数	7
ジャーナル	Journal of Number Theory
巻	35
号	2
DOI	https://doi.org/10.1016/0022-314X(90)90109-5
出版ステータス	Published - 1990 6月

ASJC Scopus subject areas

代数と数論

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10.1016/0022-314X(90)90109-5

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abstract = "We show that for large N every rational number a N ∈]0, 1[ has an egyptian fraction expansion a N = ∑ j=1 r 1 nj where r ≤ (1 + o(1)) log N log2N and nr ≤ 4N log2N log2N. This is essentially best possible.",

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AB - We show that for large N every rational number a N ∈]0, 1[ has an egyptian fraction expansion a N = ∑ j=1 r 1 nj where r ≤ (1 + o(1)) log N log2N and nr ≤ 4N log2N log2N. This is essentially best possible.

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Length and denominators of egyptian fractions, III

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