The Diophantine Equation X³ = u+v over Real Quadratic Fields

• Autorzy: Takaaki Kagawa
• Języki publikacji: EN

Abstrakty

EN

Let k be a real quadratic field and let $𝓞_k$ and $𝓞_k^×$ be the ring of integers and the group of units, respectively. A method of solving the Diophantine equation X³ = u+v ($X ∈ 𝓞_k$, $u,v ∈ 𝓞_k^×$) is developed.

Kategorie tematyczne

• 11D99: None of the above, but in this section
• 11G05: Elliptic curves over global fields

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2011
• Tom: 59
• Numer: 1
• Strony: 1-9

Daty

wydano

2011

Twórcy

autor

Takaaki Kagawa

• Department of Mathematical Sciences, Ritsumeikan University, Kusatsu, Shiga 525-8577, Japan

Identyfikatory

DOI

10.4064/ba59-1-1