On an additive problem and its application to the problem of distribution of zeros of linear combinations of Hecke L-functions on the critical line

On an additive problem and its application to the problem of distribution of zeros of linear combinations of Hecke L-functions on the critical line

We solve an additive problem with binary quadratic forms and apply it to obtain a lower bound for the number of zeros of linear combinations of Hecke L -functions on a segment of the critical line.

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Proceedings of the Steklov Institute of Mathematics 2012-04, Vol.276 (1), p.90-102
1. Verfasser: Gritsenko, S. 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:We solve an additive problem with binary quadratic forms and apply it to obtain a lower bound for the number of zeros of linear combinations of Hecke L -functions on a segment of the critical line.
ISSN:0081-5438
1531-8605
DOI:10.1134/S0081543812010087