Geodesic
Sums of Fractions with Bounded Numerators
Canadian journal of mathematics, Tome 18 (1966) no. 1, pp. 999-1003

Voir la notice de l'article provenant de la source Cambridge University Press

The general problem considered in this paper is that of sums of a finite number of reduced fractions whose numerators are elements of a finite set S of integers, and whose denominators are distinct positive integers. Egyptian, or unit, fractions are merely the case S = {1}. Problems concerning these fractions have been treated extensively. Another specific case S = {1, — 1} has been treated by Sierpinski (2). 
Stewart, B. M.; Webb, W. A. Sums of Fractions with Bounded Numerators. Canadian journal of mathematics, Tome 18 (1966) no. 1, pp. 999-1003. doi: 10.4153/CJM-1966-100-4
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[1] 1. Graham, R. L., On finite sums of unit fractions, Proc. London Math. Soc., 14 (1964), 193–207. Google Scholar

[2] 2. Sierpinski, W., Sur les décompositions de nombres rationnels en fractions primaires, Mathesis, 65 (1956), 16–32. Google Scholar

[3] 3. Smith, H. J. S., On the integration of discontinuous functions (1875), Collected Mathematical Papers, Vol. II (New York, 1965), 91–93. Google Scholar

[4] 4. Stewart, B. M., Theory of numbers, 2nd ed. (New York, 1964), 198–207. Google Scholar

[5] 5. van Albada, P. J. and van Lint, J. H., Reciprocal bases for the integers, Amer. Math. Monthly, 70 (1963), 170–174. Google Scholar

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