Low-lying zeros for $L$-functions associated to Hilbert modular forms of large level
Volume 180 / 2017
Acta Arithmetica 180 (2017), 251-266 MSC: Primary 11F41; Secondary 11M99. DOI: 10.4064/aa8639-6-2017 Published online: 30 August 2017
We determine the 1-level density of families of Hilbert modular forms, and show the answer agrees only with orthogonal random matrix ensembles.