Which Integers are Representable as the Product of the Sum of Three Integers with the Sum of their Reciprocals?

DOI10.2307/2152940zbMath0808.11022OpenAlexW4255832077MaRDI QIDQ3137453

Richard K. Guy, Andrew Bremner, Richard J. Nowakowski

Publication date: 9 March 1995

Full work available at URL: https://doi.org/10.2307/2152940

zbMATH Keywords

elliptic curveMordell-Weil groupcubic diophantine equationrepresentation of integerspositive rankhomogeneous cubic equation

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Computer solution of Diophantine equations (11Y50) Cubic and quartic Diophantine equations (11D25)

Related Items (4)

Two more representation problems ⋮ The equation (w + x + y + z)(1/w + 1/x + 1/y + 1/z) = n ⋮ A note on elliptic curves with a rational 3-torsion point ⋮ On a problem of John Leech

Cites Work

• On sums of squares and on elliptic curves over function fields
• A Geometric Approach to Equal Sums of Sixth Powers
• Notes on elliptic curves. II.
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