ArticleOriginal scientific text
Title
The number of solutions of the Mordell equation
Authors 1
Affiliations
- Department of Mathematics, Aristotle University of Thessaloniki, 54006 Thessaloniki, Greece
Bibliography
- A. Brumer and J. Silverman, The number of elliptic curves over ℚ with conductor N, Manuscripta Math. 91 (1996), 95-102.
- J. H. Evertse, On equations in S-units and the Thue-Mahler equation, Invent. Math. 75 (1984), 561-584.
- J. H. Evertse and J. H. Silverman, Uniform bounds for the number of solutions to
, Math. Proc. Cambridge Philos. Soc. 100 (1986), 237-248. - H. Hasse, Number Theory, Springer, Berlin, 1980.
- S. Lang, Elliptic Functions, Addison-Wesley, 1973.
- 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.
- W. M. Schmidt, Integer points on curves of genus 1, Compositio Math. 81 (1992), 33-59.
- J. H. Silverman, The Arithmetic of Elliptic Curves, Grad. Texts in Math. 106, Springer, New York, 1986.