A Limit Theorem for Twists of L-Functions of Elliptic Curves
Abstract
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.
Keywords:
characteristic transform, Dirichlet character, elliptic curve, L-function of elliptic curve, probability measure, weak convergenceHow to Cite
Garbaliauskienė, V., & Laurinčikas, A. (2014). A Limit Theorem for Twists of L-Functions of Elliptic Curves. Mathematical Modelling and Analysis, 19(5), 696-705. https://doi.org/10.3846/13926292.2014.980866
Share
License
Copyright (c) 2014 The Author(s). Published by Vilnius Gediminas Technical University.
This work is licensed under a Creative Commons Attribution 4.0 International License.
View article in other formats
CrossMark check
Published
2014-11-01
Issue
Section
Articles
Copyright
Copyright (c) 2014 The Author(s). Published by Vilnius Gediminas Technical University.
License
This work is licensed under a Creative Commons Attribution 4.0 International License.
How to Cite
Garbaliauskienė, V., & Laurinčikas, A. (2014). A Limit Theorem for Twists of L-Functions of Elliptic Curves. Mathematical Modelling and Analysis, 19(5), 696-705. https://doi.org/10.3846/13926292.2014.980866