Acta Mathematica

The diophantine equation ax3+by3+cz3=0. Completion of the tables

Ernst S. Selmer

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Article information

Source
Acta Math. Volume 92 (1954), 191-197.

Dates
First available in Project Euclid: 31 January 2017

Permanent link to this document
http://projecteuclid.org/euclid.acta/1485892092

Digital Object Identifier
doi:10.1007/BF02392703

Rights
1954 © Almqvist & Wiksells Boktryckeri

Citation

Selmer, Ernst S. The diophantine equation ax 3 + by 3 + cz 3 =0. Completion of the tables. Acta Math. 92 (1954), 191--197. doi:10.1007/BF02392703. http://projecteuclid.org/euclid.acta/1485892092.


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References

  • J. W. S. Cassels, The rational solutions of the diophantine equation Y2=X3D. Acta Math. 82 (1950), 243–273.
  • E. S. Selmer, The diophantine equation ax3+by3+cz3=0. Acta Math. 85 (1951). 203–362.
  • —, A conjecture concerning rational points on cubic curves. Math. Scand. 2 (1954), 49–54.
  • E. S. Selmer, The diophantine equation η2=ξ3-D. A note on Cassels' method — To appear in Math. Scand 3 (1955).