Low-lying zeros for $L$-functions associated to Hilbert modular forms of large level

Sheng-Chi Liu; Steven J. Miller

doi:10.4064/aa8639-6-2017

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Low-lying zeros for $L$-functions associated to Hilbert modular forms of large level

Volume 180 / 2017

Sheng-Chi Liu, Steven J. Miller Acta Arithmetica 180 (2017), 251-266 MSC: Primary 11F41; Secondary 11M99. DOI: 10.4064/aa8639-6-2017 Published online: 30 August 2017

Abstract

We determine the 1-level density of families of Hilbert modular forms, and show the answer agrees only with orthogonal random matrix ensembles.

Authors

Sheng-Chi LiuDepartment of Mathematics and Statistics
Washington State University
Pullman, WA 99164, U.S.A.
e-mail
Steven J. MillerDepartment of Mathematics and Statistics
Williams College
Williamstown, MA 01267, U.S.A.
e-mail
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Publishing house / Journals and Serials / Acta Arithmetica / All issues

Acta Arithmetica

Low-lying zeros for $L$-functions associated to Hilbert modular forms of large level

Volume 180 / 2017

Abstract

Authors

Search for IMPAN publications

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