First moment of central values of some primitive Dirichlet L-functions with fixed order characters

We evaluate asymptotically the smoothed first moment of central values of families of primitive cubic, quartic and sextic Dirichlet L-functions, using the method of double Dirichlet series. Quantitative non-vanishing results for these L-values are also proved.

Saved in:
Bibliographic Details
Published in:Journal of number theory 2024-08, Vol.261, p.125-142
Main Authors: Gao, Peng, Zhao, Liangyi
Format: Article
Language:English
Subjects:
Central values
Dirichlet L-functions
Gauss sums
Moments of L-functions
Citations: Items that this one cites
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:We evaluate asymptotically the smoothed first moment of central values of families of primitive cubic, quartic and sextic Dirichlet L-functions, using the method of double Dirichlet series. Quantitative non-vanishing results for these L-values are also proved.
ISSN:0022-314X
1096-1658
DOI:10.1016/j.jnt.2024.02.007