Local densities of quadratic polynomials over non-dyadic fields and unramified dyadic fields
Zilong He, Zichen Yang
TL;DR
This paper derives formulas for local densities of quadratic polynomials over non-dyadic and unramified dyadic fields, advancing understanding in number theory related to quadratic forms.
Contribution
It provides explicit formulas for local densities in cases previously not fully characterized, especially over unramified dyadic fields.
Findings
Formulas for local densities over non-dyadic fields
Formulas for local densities over unramified dyadic fields
Enhanced understanding of quadratic forms in local fields
Abstract
In this paper, we prove formulas for local densities of quadratic polynomials over non-dyadic fields and over unramified dyadic fields.
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Taxonomy
TopicsMeromorphic and Entire Functions · Analytic Number Theory Research · advanced mathematical theories