Number of solutions for cubic Thue equations with automorphisms

Author:

Wakabayashi Isao

Publisher

Springer Science and Business Media LLC

Subject

Algebra and Number Theory

Reference17 articles.

1. Avanesov, E.T.: Solution in integers of the indeterminate equation $$x^3-2x^2y-5xy^2-y^3=1$$ 1 (in Russian), Ivanovo, Gos. Pedagog. Inst. Uchen. Zap. 61, 61–83 (1969). MR 48:5598

2. Ayad, M.: Automorphisms d’une forme binaire cubique et représentation d’entiers. C. R. Acad. Sc. Paris, Série I 299, 959–962 (1984)

3. Baulin, V.I.: On an indeterminate equation of the third degree with least positive discriminant (in Russian), Tul’sk. Gos. Pedagog. Inst. Uchen. Zap. Fiz. Mat. Nauk. 7, 138–170 (1960). MR 33:7298

4. Bennett, M.A.: On the representation of unity by binary cubic forms. Trans. Amer. Math. Soc. 353, 1507–1534 (2001)

5. Cassels, J.W.S.: An Introduction to the Geometry of Numbers. Springer, Berlin (1971)

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