On unit solutions of the equation \(xyz=x+y+z\) in totally imaginary quartic fields

DOI10.1016/0022-314X(92)90001-6zbMath0745.11022OpenAlexW2077693967MaRDI QIDQ1183270

Hugh Edgar, Jonathan Gordon, Liang-Cheng Zhang

Publication date: 28 June 1992

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

Full work available at URL: https://doi.org/10.1016/0022-314x(92)90001-6

zbMATH Keywords

totally imaginary quartic extensionunit solutions

Mathematics Subject Classification ID

Cubic and quartic extensions (11R16) Multiplicative and norm form equations (11D57)

Cites Work

• Unnamed Item
• On a diophantine equation
• Remarques sur le travail de M. J. W. S. Cassels "On a diophantine equation"
• On Unit Solutions of the Equation xyz = x + y + z in Not Totally Real Cubic Fields
• On unit solutions of the equation xyz = x+y+z in the ring of integers of a quadratic field
• On unit solutions of the equation xyz=x+y+z in a number field with unit group of rank 1

This page was built for publication: On unit solutions of the equation \(xyz=x+y+z\) in totally imaginary quartic fields