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

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 explicitl...

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Bibliographic Details
Published inMathematical modelling and analysis Vol. 21; no. 6; pp. 752 - 761
Main Authors Garbaliauskien, Virginija, Laurincikas, Antanas
Format Journal Article
LanguageEnglish
Published Taylor & Francis 01.11.2016
Vilnius Gediminas Technical University
Subjects
Analytic functions
Collection
Dirichlet character
Dirichlet problem
Ellipses (Geometry)
elliptic curve
Functions (Mathematics)
L-function of elliptic curve
Mathematical models
Mathematical research
Prime numbers
probability measure
Theorems
Theorems (Mathematics)
weak convergence
elliptic curve
probability measure
weak convergence
Dirichlet character
L-function of elliptic curve
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ISSN1392-6292
1648-3510
DOI10.3846/13926292.2016.1241191

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Summary: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.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
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content type line 23
ISSN:1392-6292
1648-3510
DOI:10.3846/13926292.2016.1241191