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Approximate calculation of the first term in the Taylor expansion at the identity of the canonical L-function of Weil curves. (English. Russian original) Zbl 0443.14013
Math. Notes 26, 960-964 (1980); translation from Mat. Zametki 26, 913-920 (1979).

##### MSC:
 14G10 Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) 14G99 Arithmetic problems in algebraic geometry; Diophantine geometry 14H52 Elliptic curves 11S40 Zeta functions and $$L$$-functions 11F67 Special values of automorphic $$L$$-series, periods of automorphic forms, cohomology, modular symbols 14-04 Software, source code, etc. for problems pertaining to algebraic geometry
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##### References:
 [1] ?Modular functions of one variable. IV,? Lect. Notes Math.,476, Springer-Verlag, Berlin-New York (1975). [2] Yu. I. Manin, ?Parabolic points and zeta-functions of modular curves,? Izv. Akad. Nauk SSSR, Ser. Mat.,35, No. 1, 19-66 (1972). · Zbl 0243.14008 [3] A. Neron, ?Quasifonctions et hauteurs sur les variétés abéliènnes,? Ann. Math.,82, No. 2, 249-331 (1965). · Zbl 0163.15205 [4] A. Neron, ?Modèles minimaux des variétés abéliènnes sur les corps locaux et globaux,? Publ. Math. IHES,21, 360-481 (1964).
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