Low-lying zeros of cubic Dirichlet $L$-functions and the Ratios Conjecture
Number Theory
2019-01-23 v2
Abstract
We compute the one-level density for the family of cubic Dirichlet -functions when the support of the Fourier transform of a test function is in . We also establish the Ratios conjecture prediction for the one-level density for this family, and confirm that it agrees with the one-level density we obtain.
Cite
@article{arxiv.1802.01762,
title = {Low-lying zeros of cubic Dirichlet $L$-functions and the Ratios Conjecture},
author = {Peter J. Cho and Jeongho Park},
journal= {arXiv preprint arXiv:1802.01762},
year = {2019}
}