Low-lying zeros of cubic Dirichlet L-functions and the Ratios conjecture

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:474

Article

Cho, Peter J.¹  Park, Jeongho¹ 

[1] Ulsan Natl Inst Sci & Technol, Dept Math Sci, Ulsan, South Korea

关键词: Cubic characters;    One-level density;    Ratios conjecture;   

DOI  :  10.1016/j.jmaa.2019.01.073

来源: Elsevier

【 摘 要 】

We compute the one-level density for the family of cubic Dirichlet L-functions when the support of the Fourier transform of the associated test function is in (-1,1). We also establish the Ratios conjecture prediction for the one-level density for this family, and confirm that it agrees with the one-level density we obtain. (C) 2019 Elsevier Inc. All rights reserved.

【 授权许可】

Free