A Joint Elliott Type Theorem for Twists of L-Functions of Elliptic Curves
DOI: https://doi.org/10.3846/13926292.2016.1241191Abstract
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.
Keywords:
Dirichlet character, elliptic curve, L-function of elliptic curve, probability measure, weak convergenceHow to Cite
Garbaliauskienė, V., & Laurinčikas, A. (2016). A Joint Elliott Type Theorem for Twists of L-Functions of Elliptic Curves. Mathematical Modelling and Analysis, 21(6), 752-761. https://doi.org/10.3846/13926292.2016.1241191
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Copyright (c) 2016 The Author(s). Published by Vilnius Gediminas Technical University.
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2016-11-17
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Copyright
Copyright (c) 2016 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. (2016). A Joint Elliott Type Theorem for Twists of L-Functions of Elliptic Curves. Mathematical Modelling and Analysis, 21(6), 752-761. https://doi.org/10.3846/13926292.2016.1241191