Abstract
Let $k$ be a real quadratic field. A criterion for the Diophantine equation $X^3=u+v$ to have no solutions in a nonzero integer $X$ of $k$ and units $u,v$ of $k$ is given.
Citation
Takaaki KAGAWA. "The Diophantine Equation $X^3=u+v$ over Real Quadratic Fields, II." Tokyo J. Math. 44 (2) 507 - 513, December 2021. https://doi.org/10.3836/tjm/1502179345
Information
Published: December 2021
First available in Project Euclid: 26 August 2021
MathSciNet: MR4379741
zbMATH: 1501.11046
Digital Object Identifier: 10.3836/tjm/1502179345
Subjects:
Primary:
11D25
Rights: Copyright © 2021 Publication Committee for the Tokyo Journal of Mathematics
