On unit solutions of the equation xyz=x+y+z in a number field with unit group of rank 1

DOI10.4064/AA-57-2-155-158zbMath0724.11013OpenAlexW828795197MaRDI QIDQ5202241

Liang-Cheng Zhang, Jonathan Gordon

Publication date: 1991

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/206327

zbMATH Keywords

unit groupring of integerscubic fieldunit solution

Mathematics Subject Classification ID

Units and factorization (11R27) Cubic and quartic extensions (11R16) Cubic and quartic Diophantine equations (11D25)

Related Items (2)

Integers of a quadratic field with prescribed sum and product ⋮ On unit solutions of the equation \(xyz=x+y+z\) in totally imaginary quartic fields

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