Discrete universality of the L-functions of elliptic curves

Discrete universality of the L-functions of elliptic curves

A discrete universality theorem is obtained in the Voronin sense for the L -functions of elliptic curves. We use the difference of an arithmetical progression h > 0 such that is rational for some k ≠ 0. A limit theorem in the space of analytic functions plays a crucial role in the proof.

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Siberian mathematical journal 2008-07, Vol.49 (4), p.612-627
Hauptverfasser: Garbaliauskienė, V., Genys, J., Laurinčikas, A.
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics
Mathematics and Statistics
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:A discrete universality theorem is obtained in the Voronin sense for the L -functions of elliptic curves. We use the difference of an arithmetical progression h > 0 such that is rational for some k ≠ 0. A limit theorem in the space of analytic functions plays a crucial role in the proof.
ISSN:0037-4466
1573-9260
DOI:10.1007/s11202-008-0058-0