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Sums of Fractions with Bounded Numerators
Published online by Cambridge University Press: 20 November 2018
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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).
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- Copyright © Canadian Mathematical Society 1966
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