English

Local densities of quadratic polynomials over non-dyadic fields and unramified dyadic fields

Number Theory 2024-07-22 v2

Abstract

In this paper, we prove formulas for local densities of quadratic polynomials over non-dyadic fields and over unramified dyadic fields.

Keywords

Cite

@article{arxiv.2407.09076,
  title  = {Local densities of quadratic polynomials over non-dyadic fields and unramified dyadic fields},
  author = {Zilong He and Zichen Yang},
  journal= {arXiv preprint arXiv:2407.09076},
  year   = {2024}
}

Comments

17 pages, revised Lemma 2.3, Lemma 4.9, and Theorem 4.12