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One level density of low-lying zeros of families of L-functions
Part of
Peng Gao, Liangyi Zhao
Journal:

Compositio Mathematica / Volume 147 / Issue 1 / January 2011

Published online by Cambridge University Press:

07 September 2010, pp. 1-18

Print publication:

January 2011
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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.

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