One Level Density for Cubic Galois Number Fields

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.

18 pages

References in corpus (1)

• Traces, high powers and one level density for families of curves over finite fields

Cited by in corpus (1)

• Non-vanishing for cubic $L$--functions