First moment of central values of some primitive Dirichlet $L$-functions with fixed order characters
Number Theory
2024-04-01 v1
Abstract
We evaluate asymptotically the smoothed first moment of central values of families of primitive cubic, quartic and sextic Dirichlet -functions, using the method of double Dirichlet series. Quantitative non-vanishing result for these -values are also proved.
Keywords
Cite
@article{arxiv.2308.10602,
title = {First moment of central values of some primitive Dirichlet $L$-functions with fixed order characters},
author = {Peng Gao and Liangyi Zhao},
journal= {arXiv preprint arXiv:2308.10602},
year = {2024}
}
Comments
11 pages. arXiv admin note: text overlap with arXiv:2306.10726