Geodesic
The Diophantine Equation $X^3=u+v$ over Real Quadratic Fields
Takaaki Kagawa1
1 Department of Mathematical Sciences Ritsumeikan University Kusatsu, Shiga 525-8577, Japan
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 59 (2011) no. 1, pp. 1-9.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

Let $k$ be a real quadratic field and let $\mathcal O_k$ and $\mathcal O_k^\times$ be the ring of integers and the group of units, respectively. A method of solving the Diophantine equation $X^3=u+v$ ($X\in\mathcal O_k$, $u,v\in\mathcal O_k^{\times}$) is developed.
DOI : 10.4064/ba59-1-1
Keywords: real quadratic field mathcal mathcal times ring integers group units respectively method solving diophantine equation mathcal mathcal times developed

Takaaki Kagawa 1

1 Department of Mathematical Sciences Ritsumeikan University Kusatsu, Shiga 525-8577, Japan 
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Takaaki Kagawa. The Diophantine Equation $X^3=u+v$ over
Real Quadratic Fields. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 59 (2011) no. 1, pp. 1-9. doi : 10.4064/ba59-1-1. http://geodesic.mathdoc.fr/articles/10.4064/ba59-1-1/

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