Densities in the hyperelliptic ensemble

Alexandra Florea (University of Bristol)

Frank Adams 1,

I will talk about the 1-level density and the pair correlation of zeros of quadratic Dirichlet Lfunctions over function fields. I will explain how one can obtain several lower order terms for both of these statistics, when the Fourier transform of the test function is sufficiently restricted. This is joint work with Hung Bui.

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