A Limit Theorem for Twists of L-Functions of Elliptic Curves

Mathematical Modelling and Analysis

Antanas Laurinčikas¹  Virginija Garbaliauskienė² 

[1] Vilnius University Naugarduko str. 24, LT-03225 Vilnius, Lithuania;Šiauliai University P. Višinskio str. 19, LT-77156 Šiauliai, Lithuania;

关键词: characteristic transform;    Dirichlet character;    elliptic curve;    L-function of elliptic curve;    probability measure;    weak convergence;   

DOI  :  10.3846/13926292.2014.980866

来源: DOAJ

【 摘 要 】

In the paper, a limit theorem for weakly convergent probability measures on the complex plane for twisted with Dirichlet character L-functions of elliptic curves with an increasing modulus of the character is proved.

【 授权许可】

Unknown