ArticleOriginal scientific text

Title

The number of solutions of the Mordell equation

Authors 1

Affiliations

  1. Department of Mathematics, Aristotle University of Thessaloniki, 54006 Thessaloniki, Greece

Bibliography

  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 Ym=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.
Pages:
173-179
Main language of publication
English
Received
1998-04-20
Accepted
1998-10-19
Published
1999
Exact and natural sciences