Generators and integral points on twists of the Fermat cubic

• Autorzy: Yasutsugu Fujita , Tadahisa Nara
• Języki publikacji: EN

Abstrakty

EN

We study integral points and generators on cubic twists of the Fermat cubic curve. The main results assert that integral points can be in a system of generators in the case where the Mordell-Weil rank is at most two. As a corollary, we explicitly describe the integral points on the curve.

Kategorie tematyczne

• 11G50: Heights
• 11D59: Thue-Mahler equations
• 11G05: Elliptic curves over global fields

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 2015
• Tom: 168
• Numer: 1
• Strony: 1-16

Daty

wydano

2015

Twórcy

autor

Yasutsugu Fujita

• College of Industrial Technology, Nihon University, 2-11-1 Shin-ei, Narashino, Chiba 275-8576, Japan

autor

Tadahisa Nara

• Faculty of Engineering, Tohoku-Gakuin University, 1-13-1 Chuo, Tagajo, Miyagi 985-8537, Japan

Identyfikatory

DOI

10.4064/aa168-1-1