The Diophantine equation \(X^3=u+27v\) over real quadratic fields

DOI10.3836/tjm/1279719584zbMath1227.11052OpenAlexW4241079135MaRDI QIDQ989207

Takaaki Kagawa

Publication date: 30 August 2010

Published in: Tokyo Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3836/tjm/1279719584

zbMATH Keywords

real quadratic fieldcubic Diophantine equation

Mathematics Subject Classification ID

Quadratic extensions (11R11) Cubic and quartic Diophantine equations (11D25)

Cites Work

• The Diophantine Equation X³=u+v over Real Quadratic Fields
• Central Extensions, Galois Groups, and Ideal Class Groups of Number Fields
• Determination of elliptic curves with everywhere good reduction over ℚ(√37)
• Determination of elliptic curves with everywhere good reduction over real quadratic fields Q(\sqrt3p)
• Nonexistence of elliptic curves having everywhere good reduction and cubic discriminant

This page was built for publication: The Diophantine equation \(X^3=u+27v\) over real quadratic fields