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Oscillation of the sign of the remainder in the formula for the number of points on an algebraic curve. (English. Russian original) Zbl 0371.14030

Ukr. Math. J. 28(1976), 424-428 (1977); translation from Ukr. Mat. Zh. 28, 546-551 (1976).

MSC:

14N10 Enumerative problems (combinatorial problems) in algebraic geometry
14G10 Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture)
14G15 Finite ground fields in algebraic geometry
Full Text: DOI

References:

[1] A. Weil, Variètès Abèliennes et Courbes Algèbriques, Hermann, Paris (1948). · Zbl 0037.16202
[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). · Zbl 0077.04801
[4] S. Lang, Introduction to Diophantine Approximations, Addison-Wesley, New York (1965). · Zbl 0134.27803
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