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On the number of solutions of \({\sum _{j=1}^ s}(1/x_ j)+1/(x_ 1{\cdots}x_ s)=1\)

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Publication:1801577
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DOI10.1006/jnth.1993.1030zbMath0785.11020OpenAlexW1975977496MaRDI QIDQ1801577

Lawrence Brenton, Daniel Drucker

Publication date: 26 April 1994

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jnth.1993.1030


zbMATH Keywords

sums of unit fractionsdiophantine equationZnám's problem


Mathematics Subject Classification ID

Rational numbers as sums of fractions (11D68)


Related Items (3)

Critical groups of arithmetical structures on star graphs and complete graphs ⋮ NON-UNIQUENESS AND RADIUS OF CYCLIC UNARY NFAs ⋮ On the equation $\sum_{p|N}\frac1p+\frac1N = 1$, pseudoperfect numbers, and perfectly weighted graphs







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