Mathematical Notes

, Volume 63, Issue 4, pp 444–448 | Cite as

Sharp estimates of torsion of elliptic curves

  • V. A. Demyanenko
Article
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Abstract

The best possible estimates of torsion of the curvesy2=x3+s andy2=x3+rx over an arbitrary algebraic number field are given.

Key words

best possible estimates torsion of a curve elliptic curve algebraic number field 

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References

  1. 1.
    V. A. Dem'yanenko, “On sharp estimates of the torsion of elliptic curves,” in:Third International Conference on Algebra. [in Russian], Abstracts, Krasnoyarsk (1993), p. 106.Google Scholar
  2. 2.
    V. A. Dem'yanenko, “On sharp estimates of thep-torsion of some curves of the first kind,”Mat. Zametki [Math. Notes],21, No. 1, 3–7 (1977).MATHMathSciNetGoogle Scholar
  3. 3.
    V. A. Dem'yanenko, “On sharp estimates of the torsion of points of curves of the first kind,”Zap. Nauchn. Sem. LOMI,151, 57–65 (1986).MATHGoogle Scholar

Copyright information

© Plenum Publishing Corporation 1998

Authors and Affiliations

  • V. A. Demyanenko
    • 1
  1. 1.Institute of Mathematics and MechanicsUral Division of the Russian Academy of SciencesUSSR

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