References
V. G. Drinfeld and S. G. Vląduţ, “On the number of points of an algebraic curve,”Funkts. Anal. Prilozh.,17, 53–54 (1983).
A. Garcia and H. Stichtenoth, “A tower of Artin-Schreier extensions of function fields attaining the Drinfeld-Vląduţ bound,”Invent. Math.,121, 211–222 (1995).
Y. Ihara, “On the theory of modular curves over finite fields,” In:Bombay Colloq. on Discr. Groups and Moduli Schemes, Oxford Univ. Press (1973).
G. Lachaud and M. A. Tsfasman,Formules explicites pour le nombre de points des variétés sur un corps fini, Prétirage LMD No. 95-25 (1995), submitted toJ. Reine Angew. Math.
J.-P. Serre,The Number of Rational Points on Curves over Finite Fields, Princeton lectures, Fall 1983, Notes by E. Bayer.
J.-P. Serre, “Répartition asymptotique des valeurs propres de l’opérateur de HeckeT p ,”J. Amer. Math. Soc., to appear.
J. Tate, “Classes d’isogénie des variétés abéliennes sur un corps fini (d’après Honda),” In:Sém. Bourbaki, Vol. 358 (1968–69).
M. A. Tsfasman, “Some remarks on the asymptotic number of points,” In:Springer Lect. Notes Math., Vol. 1518 (1992), pp. 178–192.
M. A. Tsfasman and S. G. Vląduţ,Algebraic-Geometric Codes, Kluwer Acad. Publ., Dordrecht (1991).
M. A. Tsfasman and S. G. Vląduţ, “Asymptotic properties of zeta-functions. II,” in preparation.
S. G. Vląduţ, “An exhaustion bound for algebraic-geometric modular codes,”Probl. Inf. Trans.,23, 22–34 (1987).
S. G. Vląduţ, “Secant planes and secant divisors over finite fields,” in preparation.
A. Weil,Variétés Abéliennes et Courbes Algébriques, Hermann, Paris (1948).
Additional information
Translated from Itogi Nauki i Tekhniki, Seriya Sovremennaya Matematika i Ee Prilozheniya. Tematicheskie Obzory. Vol. 41, Algebraic Geometry-7, 1997.
Rights and permissions
About this article
Cite this article
Tsfasman, M.A., Vląduţ, S.G. Asymptotic properties of zeta-functions. J Math Sci 84, 1445–1467 (1997). https://doi.org/10.1007/BF02399198
Issue Date:
DOI: https://doi.org/10.1007/BF02399198