Low-lying zeros for L-functions associated to Hilbert modular forms of large level
Number Theory
2017-10-06 v1
Abstract
We determine the 1-level density of families of Hilbert modular forms, and show the answer agrees only with orthogonal random matrix ensembles.
Keywords
Cite
@article{arxiv.1710.01765,
title = {Low-lying zeros for L-functions associated to Hilbert modular forms of large level},
author = {Sheng-Chi Liu and Steven J. Miller},
journal= {arXiv preprint arXiv:1710.01765},
year = {2017}
}