One level density of Hecke L-functions associated with cubic characters at prime arguments
Kavalcı, Cazibe;
One level density of Hecke L-functions associated with cubic characters at prime arguments
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.
Includes bibliographical references (leave 24-26).
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by Cazibe Kavalcı
Turkey
- Bilkent University Turkey
Katz-Sarnak conjecture, Cubic Hecke L-functions, One level density
Katz-Sarnak conjecture, Cubic Hecke L-functions, One level density
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