JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, v.474, no.2, pp.876 - 892
Abstract
We compute the one-level density for the family of cubic Dirichlet L-functions when the support of the Fourier transform of the associated test function is in (−1,1). 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.