The equation (w + x + y + z)(1/w + 1/x + 1/y + 1/z) = n

DOI10.1142/S1793042118500768zbMath1428.11057MaRDI QIDQ4643777

Andrew Bremner, Nguyen Xuan Tho

Publication date: 29 May 2018

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

zbMATH Keywords

elliptic curveHilbert symbolquartic surfaceDiophantine representation

Mathematics Subject Classification ID

Rational points (14G05) Elliptic curves over global fields (11G05) Cubic and quartic Diophantine equations (11D25) Representation problems (11D85)

Related Items (5)

On a remark of Sierpiński ⋮ On sums of positive rationals with given products ⋮ On a Diophantine equation ⋮ ON A PROBLEM OF RICHARD GUY ⋮ The equation x1 x2 + x2 x3 + x3 x4 + x4 x1 = n

Uses Software

• Magma
• MathOverflow

Cites Work

• The Magma algebra system. I: The user language
• Which Integers are Representable as the Product of the Sum of Three Integers with the Sum of their Reciprocals?
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• Unnamed Item

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