Browsing by Subject "One level density"
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Item Open Access One level density of Hecke L-functions associated with cubic characters at prime arguments(Bilkent University, 2023-01) Kavalcı, CazibeWe 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.