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ArticleOriginal scientific text

Title

Solving elliptic diophantine equations: the general cubic case

Authors 1, 2

Affiliations

  1. Econometric Institute, Erasmus University, P.O. Box 1738, 3000 DR Rotterdam, The Netherlands
  2. Sportsingel 30, 2924 XN Krimpen aan den IJssel, The Netherlands

Keywords

ENG
cubic diophantine equation, elliptic curve, elliptic logarithm, LLL-reduction, binary Krawtchouk polynomial

Bibliography

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  20. [St95] R. J. Stroeker, On the sum of consecutive cubes being a perfect square, Compositio Math. 97 (1995), 295-307.
  21. [ST94] R. J. Stroeker and N. Tzanakis, Solving elliptic diophantine equations by estimating linear forms in elliptic logarithms, Acta Arith. 67 (1994), 177-196.
  22. [ST97] R. J. Stroeker and N. Tzanakis, On the elliptic logarithm method for elliptic diophantine equations: Reflections and an improvement, Experiment. Math., to appear.
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Acta Arithmetica
1998-1999/87/4
Export to PBN, Opens in new tab
Pages:
339-365
Main language of publication
English
Received
1998-06-10
Published
1999
Exact and natural sciences