English

One Level Density for Cubic Galois Number Fields

Number Theory 2019-08-15 v1

Abstract

Katz and Sarnak predicted that the one level density of the zeros of a family of LL-functions would fall into one of five categories. In this paper, we show that the one level density for LL-functions attached to cubic Galois number fields falls into the category associated with unitary matrices.

Cite

@article{arxiv.1710.02831,
  title  = {One Level Density for Cubic Galois Number Fields},
  author = {Patrick Meisner},
  journal= {arXiv preprint arXiv:1710.02831},
  year   = {2019}
}

Comments

18 pages

R2 v1 2026-06-22T22:06:55.846Z