Kübik Hecke L-fonksiyonlarının 1/2 noktasına yakın sıfırlarının dağılımı

We study the one-level density of low-lying zeros of a family of L-functions associated with cubic Hecke Characters defined over the Eisenstein field. We show that this family of L-functions satisfies the Katz-Sarnak conjecture for all test functions whose Fourier transforms are supported in (-1,1), under the Generalized Riemann Hypothesis.