EMIS ELibM Electronic Journals PUBLICATIONS DE L'INSTITUT MATHEMATIQUE (BEOGRAD) (N.S.)
Vol. 76(90), pp. 65–71 (2004)

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DISCRETE VALUE – DISTRIBUTION OF $L$-FUNCTIONS OF ELLIPTIC CURVES

Virginija Garbaliauskiene and Antanas Laurincikas

Department of Physics and Mathematics, Siauliai University, 77156 Siauliai, Lithuania and Department of Mathematics and Informatics, Vilnius University, 03225 Vilnius, Lithuania

Abstract: A discrete universality theorem in the Voronin sense for $L$-functions of elliptic curves is proved.

Keywords: Elliptic curve, $L$-function, limit theorem, probability measure, universality, weak convergence

Classification (MSC2000): 11M41; 11G05

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