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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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