Patrick Meisner
Published 2017-10-08Version 1
Katz and Sarnak predicted that the one level density of the zeros of a family of $L$-functions would fall into one of five categories. In this paper, we show that the one level density for $L$-functions attached to cubic Galois number fields falls into the category associated with unitary matrices.
Type-I contributions to the one and two level densities of quadratic Dirichlet $L$--functions over function fields
$n$-level density of the low-lying zeros of quadratic Dirichlet $L$-functions
Symplectic $n$-level densities with restricted support
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