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

2024/07/12 by Zilong He, He, Zilong, Zichen Yang +1
Mathematics · #11E08 #11E25 #11E45 #Analytic Number Theory Research #FOS: Mathematics #Meromorphic and Entire Functions #Number Theory (math.NT) #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.2407.09076

openalex publication_date 2024/07/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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

Related

• The mean vcalue of the product of class numbers of paired quadratic fields II
• Density of Unicritical Polynomials over Local Fields with Rational Periodic Points
• Representations of quadratic lattices over dyadic local fields
• Universal integral quadratic forms over dyadic local fields
• Density of power-free values of polynomials II