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Oscillation of the sign of the remainder in the formula for the number of points on an algebraic curve

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Ukrainian Mathematical Journal Aims and scope

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Literature cited

  1. A. Weil, Variètès Abèliennes et Courbes Algèbriques, Hermann, Paris (1948).

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  2. O. N. Vvedenskii, “Local ‘class fields’ of elliptic curves,” Izv. Akad. Nauk SSSR, Ser. Matem.,37, No. 1 (1973).

  3. J. W. Cassels, Introduction to Diophantine Approximation, Hafner (1972).

  4. S. Lang, Introduction to Diophantine Approximations, Addison-Wesley, New York (1965).

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Authors and Affiliations

  1. L'vovpribor Factory, USSR

    N. V. Pimenov

Authors
  1. N. V. Pimenov
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 28, No. 4, pp. 546–551, July–August, 1976.

The author is deeply indebted to O. N. Vvedenskii for posing the problem and giving his attention to this article.

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Pimenov, N.V. Oscillation of the sign of the remainder in the formula for the number of points on an algebraic curve. Ukr Math J 28, 424–428 (1976). https://doi.org/10.1007/BF01101666

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  • DOI: https://doi.org/10.1007/BF01101666

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