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Sums of Fractions with Bounded Numerators

B. M. Stewart, W. A. Webb

Source record

Source: Crossref

Published: Jan 1, 1966

DOI: 10.4153/cjm-1966-100-4

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Source abstract

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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