A Joint Elliott Type Theorem for Twists of L-Functions of Elliptic Curves

Mathematical Modelling and Analysis

Antanas Laurinčikas¹  Virginija Garbaliauskienė² 

[1] Faculty of Mathematics and Informatics, Vilnius University, Naugarduko str. 24, LT-03225 Vilnius, Lithuania;Faculty of Technology, Physical and Biomedical Sciences, Šiauliai University, Vilniaus str. 141, LT-76353 Siauliai, Lithuania;

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

DOI  :  10.3846/13926292.2016.1241191

来源: DOAJ

【 摘 要 】

We consider a collection of L-functions of elliptic curves twisted by a Dirichlet character modulo q (q is a prime number), and prove for this collection a joint limit theorem for weakly convergent probability measures in the space of analytic functions as q → ∞. The limit measure is given explicitly.

【 授权许可】

Unknown