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

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

In this paper, we prove some one level density results for the low-lying zeros of families of L-...

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Main Authors: Gao, Peng, Zhao, Liangyi
Other Authors: School of Physical and Mathematical Sciences
Format: Article
Language:English
Published: 2011
Subjects:
DRNTU::Science::Mathematics::Number theory
Online Access:https://hdl.handle.net/10356/93902
http://hdl.handle.net/10220/7128
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Institution: Nanyang Technological University
Language: English
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spelling sg-ntu-dr.10356-939022023-02-28T19:35:47Z One level density of low-lying zeros of families of L-functions Gao, Peng Zhao, Liangyi School of Physical and Mathematical Sciences DRNTU::Science::Mathematics::Number theory 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. Accepted version 2011-09-30T08:33:45Z 2019-12-06T18:47:26Z 2011-09-30T08:33:45Z 2019-12-06T18:47:26Z 2010 2010 Journal Article Gao, P., & Zhao, L. (2010). One Level Density of Low-lying Zeros of Families of L-functions. Compositio Mathematica, 147, 1-18. https://hdl.handle.net/10356/93902 http://hdl.handle.net/10220/7128 10.1112/S0010437X10004914 150509 en Compositio mathematica © 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]. application/pdf
institution Nanyang Technological University
building NTU Library
continent Asia
country Singapore
Singapore
content_provider NTU Library
collection DR-NTU
language English
topic DRNTU::Science::Mathematics::Number theory
spellingShingle DRNTU::Science::Mathematics::Number theory
Gao, Peng
Zhao, Liangyi
One level density of low-lying zeros of families of L-functions
description 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.
author2 School of Physical and Mathematical Sciences
author_facet School of Physical and Mathematical Sciences
Gao, Peng
Zhao, Liangyi
format Article
author Gao, Peng
Zhao, Liangyi
author_sort Gao, Peng
title One level density of low-lying zeros of families of L-functions
title_short One level density of low-lying zeros of families of L-functions
title_full One level density of low-lying zeros of families of L-functions
title_fullStr One level density of low-lying zeros of families of L-functions
title_full_unstemmed One level density of low-lying zeros of families of L-functions
title_sort one level density of low-lying zeros of families of l-functions
publishDate 2011
url https://hdl.handle.net/10356/93902
http://hdl.handle.net/10220/7128
_version_ 1759857992535113728

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