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