English

The shape of cubic fields

Number Theory 2021-05-25 v5

Abstract

We use the method of Shintani, as developed by Taniguchi and Thorne, to prove the quantitative equidistribution of the shape of cubic fields when the fields are ordered by discriminant.

Cite

@article{arxiv.1705.06393,
  title  = {The shape of cubic fields},
  author = {Robert Hough},
  journal= {arXiv preprint arXiv:1705.06393},
  year   = {2021}
}

Comments

Replaces the conjugation invariant kernel with a spherical one

R2 v1 2026-06-22T19:50:36.676Z