One level density of Hecke L-functions associated with cubic characters at prime arguments
Date
2023-01
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Güloğlu, Ahmet Muhtar
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Bilkent University
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English
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Abstract
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.