All the solutions of the equation \(\sum ^{11}_{i=1} \frac{1}{x_i}= 1\) in distinct integers of the form \(x_i \in 3^{\alpha} 5^{\beta} 7^{\gamma}\)
From MaRDI portal
Publication:941363
DOI10.1016/j.disc.2007.08.049zbMath1169.11016OpenAlexW2578859391MaRDI QIDQ941363
Publication date: 4 September 2008
Published in: Discrete Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.disc.2007.08.049
representation of integerssum of Egyptian fractionsexplicit solution of a special Diophantine equation in integers of the form \(3^\alpha 5^\beta 7^\gamma\)
Related Items (2)
The equation \(\sum ^9_{i=1} \frac {1}{x_i} = 1\) in distinct odd integers has only the five known solutions ⋮ On arithmetical structures on complete graphs
Cites Work
This page was built for publication: All the solutions of the equation \(\sum ^{11}_{i=1} \frac{1}{x_i}= 1\) in distinct integers of the form \(x_i \in 3^{\alpha} 5^{\beta} 7^{\gamma}\)