PDF files of articles are only available for institutions which have paid for the online version upon signing an Institutional User License.

Generators and integral points on twists of the Fermat cubic

Volume 168 / 2015

Yasutsugu Fujita, Tadahisa Nara Acta Arithmetica 168 (2015), 1-16 MSC: Primary 11G05, 11D59; Secondary 11G50. DOI: 10.4064/aa168-1-1

Abstract

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.

Authors

  • Yasutsugu FujitaCollege of Industrial Technology
    Nihon University
    2-11-1 Shin-ei
    Narashino, Chiba 275-8576, Japan
    e-mail
  • Tadahisa NaraFaculty of Engineering
    Tohoku-Gakuin University
    1-13-1 Chuo
    Tagajo, Miyagi 985-8537, Japan
    e-mail

Search for IMPAN publications

Query phrase too short. Type at least 4 characters.

Rewrite code from the image

Reload image

Reload image