Geodesic
Low-lying zeros for $L$-functions associated to Hilbert modular forms of large level
Sheng-Chi Liu 1   ; Steven J. Miller 2
1 Department of Mathematics and Statistics Washington State University Pullman, WA 99164, U.S.A.
2 Department of Mathematics and Statistics Williams College Williamstown, MA 01267, U.S.A.
Acta Arithmetica, Tome 180 (2017) no. 3, pp. 251-266 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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We determine the 1-level density of families of Hilbert modular forms, and show the answer agrees only with orthogonal random matrix ensembles.
DOI : 10.4064/aa8639-6-2017
Keywords: determine level density families hilbert modular forms answer agrees only orthogonal random matrix ensembles

Sheng-Chi Liu  1   ; Steven J. Miller  2

1 Department of Mathematics and Statistics Washington State University Pullman, WA 99164, U.S.A.
2 Department of Mathematics and Statistics Williams College Williamstown, MA 01267, U.S.A. 
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     title = {Low-lying zeros for $L$-functions associated to {Hilbert} modular forms of large level},
     journal = {Acta Arithmetica},
     pages = {251--266},
     year = {2017},
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     number = {3},
     doi = {10.4064/aa8639-6-2017},
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Sheng-Chi Liu; Steven J. Miller. Low-lying zeros for $L$-functions associated to Hilbert modular forms of large level. Acta Arithmetica, Tome 180 (2017) no. 3, pp. 251-266. doi: 10.4064/aa8639-6-2017

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