One Level Density for Cubic Galois Number Fields

Published 8 Oct 2017 in math.NT | (1710.02831v1)

Abstract: 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.

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Patrick Meisner

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