A Joint Elliott Type Theorem for Twists of L-Functions of Elliptic Curves. Issue 6 (1st November 2016)

• Record Type: Journal Article
• Authors: Garbaliauskienė, Virginija; Laurinčikas, Antanas
• Is Part Of: Mathematical modelling and analysis. Volume 21:Issue 6(2016)
• Page Start: 752
• Page End: 761
• Publication Date: 2016-11-01
• Subjects: Dirichlet character -- elliptic curve -- L-function of elliptic curve -- probability measure -- weak convergence; 11M41 -- 60F15; Mathematical models -- Periodicals; Mathematical models -- Study and teaching -- Periodicals; Mathematical analysis -- Periodicals; Mathematical analysis -- Problems, exercises, etc -- Periodicals; Mathematical analysis; Mathematical models; Mathematical models -- Study and teaching; Periodicals; Problems and exercises; 511.805
• DOI: 10.3846/13926292.2016.1241191
• Languages: English
• ISSNs: 1392-6292

Abstract

Abstract: 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.