One level density of Hecke L-functions associated with cubic characters at prime arguments

Kavalcı, Cazibe2023-02-072023-02-072023-012023-012023-01-17http://hdl.handle.net/11693/111196Cataloged from PDF version of article.Thesis (Master's): Bilkent University, Department of Mathematics, İhsan Doğramacı Bilkent University, 2023.Includes bibliographical references (leave 24-26).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.vi, 26 leaves ; 30 cm.Englishinfo:eu-repo/semantics/openAccessOne level densityCubic Hecke L-functionsKatz-Sarnak conjectureOne level density of Hecke L-functions associated with cubic characters at prime argumentsKübik Hecke L-fonksiyonlarının 1/2 noktasına yakın sfırlarının dağılımıThesisB161691