On classic n-universal quadratic forms over dyadic local fields

2022/06/10 by Zilong He, He, Zilong
Computer Science · Mathematics · #Algebraic Geometry and Number Theory #Analytic Number Theory Research #Coding theory and cryptography #FOS: Mathematics #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.2206.04885

openalex publication_date 2022/06/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let n be an integer and n≥ 2 . A classic integral quadratic form over local fields is called classic n -universal if it represents all n-ary classic integral quadratic forms. We determine the equivalent conditions and minimal testing sets for classic n -universal quadratic forms over dyadic local fields.

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