A way to remove duplication from ∑Ni=1 1/xi

Tomoyuki Idogawa, Masayoshi Tsutsumi

研究成果: Article

抄録

The main purpose of this paper is to show that we can rewrite a sum of unit fractions ∑Ni = 1 1/xi< 1 in which 0<xi≤xi+ 1 to the form ∑Ni = 1 1/x′i in which 0 <x′i<x′i+ 1. In other words, it is always possible to remove duplication from ∑Ni = 1 1/xi, without changing its length. Moreover, using this rewriting process, we get a new algorithm for the expansion of Egyptian fractions. We state this algorithm and show some numerical results.

元の言語English
ページ（範囲）215-224
ページ数10
ジャーナルJournal of Number Theory
巻59
発行部数2
DOI
出版物ステータスPublished - 1996 8
外部発表Yes

ASJC Scopus subject areas

  • Algebra and Number Theory

これを引用

A way to remove duplication from ∑Ni=1 1/xi. / Idogawa, Tomoyuki; Tsutsumi, Masayoshi.

：: Journal of Number Theory, 巻 59, 番号 2, 08.1996, p. 215-224.

研究成果: Article

Idogawa, T & Tsutsumi, M 1996, 'A way to remove duplication from ∑Ni=1 1/xi', Journal of Number Theory, 巻. 59, 番号 2, pp. 215-224. https://doi.org/10.1006/jnth.1996.0095
Idogawa T, Tsutsumi M. A way to remove duplication from ∑Ni=1 1/xi. Journal of Number Theory. 1996 8;59(2):215-224. https://doi.org/10.1006/jnth.1996.0095
Idogawa, Tomoyuki ; Tsutsumi, Masayoshi. / A way to remove duplication from ∑Ni=1 1/xi. ：: Journal of Number Theory. 1996 ; 巻 59, 番号 2. pp. 215-224.
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