The number of solutions of the Mordell equation

• Autorzy: Dimitrios Poulakis
• Języki publikacji: EN

Kategorie tematyczne

• 11D25: Cubic and quartic equations
• 11G05: Elliptic curves over global fields

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 1999
• Tom: 88
• Numer: 2
• Strony: 173-179

Daty

wydano

1999

otrzymano

1998-04-20

poprawiono

1998-10-19

Twórcy

autor

Dimitrios Poulakis

• Department of Mathematics, Aristotle University of Thessaloniki, 54006 Thessaloniki, Greece

Bibliografia

• [1] A. Brumer and J. Silverman, The number of elliptic curves over ℚ with conductor N, Manuscripta Math. 91 (1996), 95-102.
• [2] J. H. Evertse, On equations in S-units and the Thue-Mahler equation, Invent. Math. 75 (1984), 561-584.
• [3] J. H. Evertse and J. H. Silverman, Uniform bounds for the number of solutions to $Y^m = f(X)$, Math. Proc. Cambridge Philos. Soc. 100 (1986), 237-248.
• [4] H. Hasse, Number Theory, Springer, Berlin, 1980.
• [5] S. Lang, Elliptic Functions, Addison-Wesley, 1973.
• [6] P. Llorente and E. Nart, Effective determination of the decomposition of the rational primes in a cubic field, Proc. Amer. Math. Soc. 87 (1983), 579-585.
• [7] W. M. Schmidt, Integer points on curves of genus 1, Compositio Math. 81 (1992), 33-59.
• [8] J. H. Silverman, The Arithmetic of Elliptic Curves, Grad. Texts in Math. 106, Springer, New York, 1986.