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
其他作者: School of Physical and Mathematical Sciences
格式: Article
語言:English
出版: 2011
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在線閱讀:https://hdl.handle.net/10356/93902
http://hdl.handle.net/10220/7128
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機構: Nanyang Technological University
語言: English
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總結: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.