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On the Density of Low Lying Zeros of a Large Family of Automorphic $L$-functions

On the Density of Low Lying Zeros of a Large Family of Automorphic $L$-functions

Under the generalized Riemann Hypothesis (GRH), Baluyot, Chandee, and Li nearly doubled the range in which the density of low lying zeros predicted by Katz and Sarnak is known to hold for a large family of automorphic $L$-functions with orthogonal symmetry. We generalize their main techniques to the study of …