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On the number of solutions of \(\sum^{11}_{i=1}\frac {1}{x_i}=1\) in distinct odd natural numbers

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Publication:1946721
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DOI10.1016/j.jnt.2012.11.011zbMath1270.11033OpenAlexW1999964822WikidataQ114157583 ScholiaQ114157583MaRDI QIDQ1946721

R. Arce-Nazario, Raúl F. Figueroa, Francis N. Castro

Publication date: 15 April 2013

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2012.11.011


zbMATH Keywords

Egyptian fractionssum of unit fractions


Mathematics Subject Classification ID

Diophantine equations in many variables (11D72) Rational numbers as sums of fractions (11D68)


Related Items (4)

Primary Pseudoperfect Numbers, Arithmetic Progressions, and the Erdős-Moser Equation ⋮ Critical groups of arithmetical structures on star graphs and complete graphs ⋮ The number of solutions of the Erdős-Straus Equation and sums ofkunit fractions ⋮ On arithmetical structures on complete graphs




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