A WEIGHTED UNIVERSALITY THEOREM FOR L-FUNCTIONS OF ELLIPTIC CURVES
A WEIGHTED UNIVERSALITY THEOREM FOR L-FUNCTIONS OF ELLIPTIC CURVES
Author(s): Antanas Garbaliauskas, Virginija GarbaliauskienėSubject(s): Education, Methodology and research technology
Published by: Vilniaus Universiteto Leidykla
Keywords: elliptic curve; L-function; universality;
Summary/Abstract: In the paper, a short survey on universality results for L-functions of elliptic curves over the field of rational numbers is given and weighted universality theorem is proven. All stated universality theorems are of continuous type. The proof of the universality for L-functions of elliptic curves is based on a limit theorem in the sense of weak convergence of probability measures in the space of analytic functions.
Journal: Jaunųjų mokslininkų darbai
- Issue Year: 2018
- Issue No: 2 (48)
- Page Range: 18-21
- Page Count: 4
- Language: English