By looking at the average behavior (n-level density) of the low-lying zeros of certain families of L-functions, we find evidence, as predicted by function field analogs, in favor of a spectral interpretation of the nontrivial zeros in terms of the classical compact groups.
"Low-lying zeros of L-functions and random matrix theory." Duke Math. J. 109 (1) 147 - 181, 15 July 2001. https://doi.org/10.1215/S0012-7094-01-10916-2