The equation \(xyz=x+y+z=1\) in integers of a cubic field

DOI10.1007/BF01172793zbMath0686.10011MaRDI QIDQ1262332

Andrew Bremner

Publication date: 1989

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/155453

zbMATH Keywords

unitselliptic curvecubic number fields

Mathematics Subject Classification ID

Units and factorization (11R27) Elliptic curves (14H52) Cubic and quartic extensions (11R16) Cubic and quartic Diophantine equations (11D25) Global ground fields in algebraic geometry (14G25) Multiplicative and norm form equations (11D57)

Related Items (1)

Integers of a quadratic field with prescribed sum and product

Cites Work

• On a diophantine equation
• On unit solutions of the equation xyz = x+y+z in the ring of integers of a quadratic field
• On the Equation xyz = x + y + z = 1

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