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On Number of Integers Representable as Sums of Unit Fractions

Published online by Cambridge University Press:  20 November 2018

Hisashi Yokota*
Affiliation:
Hiroshima Institute of Technology, Itsukaichi, Hiroshima, Japan
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Abstract

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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

Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 1990

References

1. Bleicher, M. N. and Erdös, P., Denominators of Egyptian Fractions II, Illinois J. Math. 20 (1976), 598613.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), 6494.Google Scholar
4. Yokota, H., Denominators of Egyptian Fractions, J. Number Theory 28 (1988), 258271.Google Scholar
5. Yokota, H., On a problem of Bleicher and Erdös, J. Number Theory 30 (1988), 198207.Google Scholar