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

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

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.

Bibliographic Details
Main Authors: Virginija Garbaliauskienė, Antanas Laurinčikas
Format: Article
Language:English
Published: Vilnius Gediminas Technical University 2014-11-01
Series:Mathematical Modelling and Analysis
Subjects:
characteristic transform
Dirichlet character
elliptic curve
L-function of elliptic curve
probability measure
weak convergence
Online Access:https://journals.vgtu.lt/index.php/MMA/article/view/3337
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spelling doaj-a96eb69e2e9346d2b47f945a71e5a32b2021-07-02T14:38:34ZengVilnius Gediminas Technical UniversityMathematical Modelling and Analysis1392-62921648-35102014-11-0119510.3846/13926292.2014.980866A Limit Theorem for Twists of L-Functions of Elliptic CurvesVirginija Garbaliauskienė0Antanas Laurinčikas1Šiauliai University P. Višinskio str. 19, LT-77156 Šiauliai, LithuaniaVilnius University Naugarduko str. 24, LT-03225 Vilnius, Lithuania 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. https://journals.vgtu.lt/index.php/MMA/article/view/3337characteristic transformDirichlet characterelliptic curveL-function of elliptic curveprobability measureweak convergence
collection DOAJ
language English
format Article
sources DOAJ
author Virginija Garbaliauskienė
Antanas Laurinčikas
spellingShingle Virginija Garbaliauskienė
Antanas Laurinčikas
A Limit Theorem for Twists of L-Functions of Elliptic Curves
Mathematical Modelling and Analysis
characteristic transform
Dirichlet character
elliptic curve
L-function of elliptic curve
probability measure
weak convergence
author_facet Virginija Garbaliauskienė
Antanas Laurinčikas
author_sort Virginija Garbaliauskienė
title A Limit Theorem for Twists of L-Functions of Elliptic Curves
title_short A Limit Theorem for Twists of L-Functions of Elliptic Curves
title_full A Limit Theorem for Twists of L-Functions of Elliptic Curves
title_fullStr A Limit Theorem for Twists of L-Functions of Elliptic Curves
title_full_unstemmed A Limit Theorem for Twists of L-Functions of Elliptic Curves
title_sort limit theorem for twists of l-functions of elliptic curves
publisher Vilnius Gediminas Technical University
series Mathematical Modelling and Analysis
issn 1392-6292
1648-3510
publishDate 2014-11-01
description 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.
topic characteristic transform
Dirichlet character
elliptic curve
L-function of elliptic curve
probability measure
weak convergence
url https://journals.vgtu.lt/index.php/MMA/article/view/3337
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AT antanaslaurincikas alimittheoremfortwistsoflfunctionsofellipticcurves
AT virginijagarbaliauskiene limittheoremfortwistsoflfunctionsofellipticcurves
AT antanaslaurincikas limittheoremfortwistsoflfunctionsofellipticcurves
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