The Katz-Sarnak one-level density prediction for Maass form L-functions of prime level now holds for Fourier support up to 15/8, and up to 2 under the Grand Density Conjecture.
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Low-lying zeros in families of Maass form L-functions: an extended density theorem
The Katz-Sarnak one-level density prediction for Maass form L-functions of prime level now holds for Fourier support up to 15/8, and up to 2 under the Grand Density Conjecture.