On the Generalizations of Universality Theorem for L-Functions of Elliptic Curves
Physical Sciences
Virginija Garbaliauskienė
Šiauliai University
Published 2017-10-09
https://doi.org/10.21277/jmd.v2i44.171
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Keywords

elliptic curve
L-function
universality

How to Cite

Garbaliauskienė, V. (2017) “On the Generalizations of Universality Theorem for L-Functions of Elliptic Curves”, Jaunųjų mokslininkų darbai, 2(44), pp. 102–104. doi:10.21277/jmd.v2i44.171.

Abstract

In the paper, the continuous type’s universality theorem for L-functions of elliptic curves is discussed and its generalizations in three directions – for positive integer powers and derivatives of L-functions of elliptic curves as well as the weighted universality theorem of L-functions of elliptic curves – are given. The proofs of the universality are based on limit theorems in the sense of weak convergence of probability measures in functional spaces.

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