On sums of positive rationals with given products

DOI10.1007/s00009-022-02103-5zbMath1506.11044OpenAlexW4283593868MaRDI QIDQ2167815

N. X. Tho

Publication date: 31 August 2022

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-022-02103-5

zbMATH Keywords

diophantine equationssum of positive rationals

Mathematics Subject Classification ID

Rational numbers as sums of fractions (11D68) Representation problems (11D85)

Uses Software

• Magma

Cites Work

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• The Magma algebra system. I: The user language
• On a remark of Sierpiński
• On a diophantine equation
• Sur le problème de M. Werner Mnich
• Partitions with Equal Products (II)
• Two more representation problems
• Investigation of one class of diophantine equations
• The equation (w + x + y + z)(1/w + 1/x + 1/y + 1/z) = n
• ON A PROBLEM OF RICHARD GUY
• The equation x1 x2 + x2 x3 + x3 x4 + x4 x1 = n
• What positive integers n can be presented in the form n = (x + y + z)(1/x + 1/y + 1/z)?
• On a Diophantine equation

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