Egyptian fractions (Q2740915)

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scientific article; zbMATH DE number 1642076
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Egyptian fractions
scientific article; zbMATH DE number 1642076

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    3 December 2001
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    Egyptian fractions (English)
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    The authors correct an incomplete method by \textit{J. W. Hille} for expressing a fraction of the form \(2/n\) (\(n\) odd) as the sum of two fractions with numerator 1 [ibid. 62, 51-52 (1978)]. The construction gives the number of nontrivial decompositions of \(2/n\) into a pair of Egyptian fractions. In an editorial note at the end, reference is made to a paper by \textit{M. Bruckheimer} and \textit{Y. Salomon} [Historia Math. 4, 445-452 (1977; Zbl 0389.01001)] which is more detailed.
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