The Diophantine Equation $X^3=u+v$ over Real Quadratic Fields, II

Autor: Takaaki Kagawa
Rok vydání: 2021
Předmět:
Zdroj: Tokyo Journal of Mathematics. 44
ISSN: 0387-3870
Popis: Let $k$ be a real quadratic field. The Diophantine equation $X^3=u+27v$ in $X\in\mathcal{O}_k$ (the ring of integers of $k$), $u,v\in\mathcal{O}_k^\times$ (the group of units of $k$) is solved under some assumptions on $k$.
Databáze: OpenAIRE