Low-lying zeros of cubic Dirichlet L-functions and the Ratios\n Conjecture

2018/02/05 by Peter J. Cho, Cho, Peter J., Jeong-Ho Park +1
Mathematics · #Analytic Number Theory Research #Limits and Structures in Graph Theory #Meromorphic and Entire Functions

paper · pdf · doi:10.48550/arxiv.1802.01762

Abstract

We compute the one-level density for the family of cubic Dirichlet\nL-functions when the support of the Fourier transform of a test function is\nin (-1,1). We also establish the Ratios conjecture prediction for the\none-level density for this family, and confirm that it agrees with the\none-level density we obtain.\n

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