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One level density of low-lying zeros of families of L-functions.

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One level density of low-lying zeros of families of L-functions.

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dc.contributor.author Gao, Peng.
dc.contributor.author Zhao, Liangyi.
dc.date.accessioned 2011-09-30T08:33:45Z
dc.date.available 2011-09-30T08:33:45Z
dc.date.copyright 2010
dc.date.issued 2011-09-30
dc.identifier.citation Gao, P., & Zhao, L. (2010). One Level Density of Low-lying Zeros of Families of L-functions. Compositio Mathematica, 147, 1-18.
dc.identifier.uri http://hdl.handle.net/10220/7128
dc.description.abstract In this paper, we prove some one level density results for the low-lying zeros of families of L- functions. More specifically, the families under consideration are that of L-functions of holomorphic Hecke eigenforms of level 1 and weight k twisted with quadratic Dirichlet characters and that of cubic and quartic Dirichlet L-functions.
dc.language.iso en
dc.relation.ispartofseries Compositio mathematica
dc.rights © 2010 Foundation Compositio Mathematica. This is the author created version of a work that has been peer reviewed and accepted for publication in Compositio Mathematica, published by London Mathematical Society on behalf of Foundation Compositio Mathematica. It incorporates referee’s comments but changes resulting from the publishing process, such as copyediting, structural formatting, may not be reflected in this document. The published version is available at: [http://dx.doi.org/10.1112/S0010437X10004914].
dc.subject DRNTU::Science::Mathematics::Number theory.
dc.title One level density of low-lying zeros of families of L-functions.
dc.type Journal Article
dc.contributor.school School of Physical and Mathematical Sciences
dc.identifier.doi http://dx.doi.org/10.1112/S0010437X10004914
dc.description.version Accepted version
dc.identifier.rims 150509

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