Geodesic
Generators and integral points on twists of the Fermat cubic
Yasutsugu Fujita 1   ; Tadahisa Nara 2
1 College of Industrial Technology Nihon University 2-11-1 Shin-ei Narashino, Chiba 275-8576, Japan
2 Faculty of Engineering Tohoku-Gakuin University 1-13-1 Chuo Tagajo, Miyagi 985-8537, Japan
Acta Arithmetica, Tome 168 (2015) no. 1, pp. 1-16 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/aa168-1-1
Keywords: study integral points generators cubic twists fermat cubic curve main results assert integral points system generators where mordell weil rank corollary explicitly describe integral points curve

Yasutsugu Fujita  1   ; Tadahisa Nara  2

1 College of Industrial Technology Nihon University 2-11-1 Shin-ei Narashino, Chiba 275-8576, Japan
2 Faculty of Engineering Tohoku-Gakuin University 1-13-1 Chuo Tagajo, Miyagi 985-8537, Japan 
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Yasutsugu Fujita; Tadahisa Nara. Generators and integral points on twists of the Fermat cubic. Acta Arithmetica, Tome 168 (2015) no. 1, pp. 1-16. doi: 10.4064/aa168-1-1

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