One level density of low-lying zeros of families of L-functions
Date of Issue2010
School of Physical and Mathematical Sciences
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.
© 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].