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Low-lying zeros of cubic Dirichlet $L$-functions and the Ratios Conjecture. (arXiv:1802.01762v1 [math.NT])

来源于:arXiv
We compute the one-level density for the family of cubic Dirichlet $L$-functions when the support of the Fourier transform of a 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. 查看全文>>