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2021 The Diophantine Equation $X^3=u+v$ over Real Quadratic Fields, II
Takaaki KAGAWA
Tokyo J. Math. Advance Publication 1-7 (2021). DOI: 10.3836/tjm/1502179345

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.

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Takaaki KAGAWA. "The Diophantine Equation $X^3=u+v$ over Real Quadratic Fields, II." Tokyo J. Math. Advance Publication 1 - 7, 2021. https://doi.org/10.3836/tjm/1502179345

Information

Published: 2021
First available in Project Euclid: 26 August 2021

Digital Object Identifier: 10.3836/tjm/1502179345

Subjects:
Primary: 11D25

Rights: Copyright © 2021 Publication Committee for the Tokyo Journal of Mathematics

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