<italic>n</italic>-level density of the low-lying zeros of quadratic Dirichlet <italic>L</italic>-functions.

The GUE Conjecture of Montgomery provides the first evidence in favor of the spectral interpretation of the non-trivial zeros of the Riemann zeta-function. Rather than being universally GUE, the Density Conjecture of Katz and Sarnak further associates a classical compact group to each reasonable family of L-function. In this thesis, we study the n-level density of the low-lying zeros of quadratic Dirichlet L-functions. Our results provide further support to the Density Conjecture.Ph.D.MathematicsPure SciencesUniversity of Michigan, Horace H. Rackham School of Graduate Studieshttp://deepblue.lib.umich.edu/bitstream/2027.42/125364/2/3192640.pd