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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Bibliographic Details
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

Description
Summary:	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.