Hostname: page-component-5447f9dfdb-2r8x7 Total loading time: 0 Render date: 2025-07-29T01:40:22.470Z Has data issue: false hasContentIssue false
  • English
  • Français

On Number of Integers Representable as Sums of Unit Fractions

Published online by Cambridge University Press:  20 November 2018

Hisashi Yokota
Hisashi Yokota*
Affiliation:
Hiroshima Institute of Technology, Itsukaichi, Hiroshima, Japan
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

Let N(n) be the set of all integers that can be written in the form where ∊(n) → 0 as n → ∞, answering a question of P. Erdös and R. L. Graham.

Keywords

11D8511D68

Information

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 33 , Issue 2 , 01 June 1990 , pp. 235 - 241
Copyright
Copyright © Canadian Mathematical Society 1990

References

1. Bleicher, M. N. and Erdös, P., Denominators of Egyptian Fractions II, Illinois J. Math. 20 (1976), 598–613.Google Scholar
2. Erdös, P. and Graham, R. L., Old and new problems in combinatorial number theory, L'Enseignement Mathématique, Université de Geneve, Imprimerie Kundig Geneve, 1980.Google Scholar
3. Rosser, J. and Schoenfeld, L., Approximate formula for some functions of prime numbers, Illinois J. Math. 6 (1962), 64–94.Google Scholar
4. Yokota, H., Denominators of Egyptian Fractions, J. Number Theory 28 (1988), 258–271.Google Scholar
5. Yokota, H., On a problem of Bleicher and Erdös, J. Number Theory 30 (1988), 198–207.Google Scholar