On \(\frac{1}{w} + \frac{1}{x} + \frac{1}{y} + \frac{1}{z} = \frac{1}{2}\) and some of its generalizations

DOI10.1186/s13660-018-1782-zzbMath1498.11103OpenAlexW2884652074WikidataQ92159521 ScholiaQ92159521MaRDI QIDQ824706

Tingting Bai

Publication date: 15 December 2021

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-018-1782-z

zbMATH Keywords

Diophantine equationinteger solution

Mathematics Subject Classification ID

Counting solutions of Diophantine equations (11D45) Diophantine equations in many variables (11D72) Rational numbers as sums of fractions (11D68)

Cites Work

• Unnamed Item
• On the equation 4/n=1/x+1/y+1/z
• On \(4/n= 1/x+ 1/y+1/z\) and Iwaniec' half dimensional sieve
• Sums of $k$ unit fractions
• A Proof of a Conjecture on Egyptian Fractions
• COUNTING THE NUMBER OF SOLUTIONS TO THE ERDŐS–STRAUS EQUATION ON UNIT FRACTIONS
• On 4/n = 1/x + 1/y = 1/z
• Unsolved problems in number theory

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