On classic $n$-universal quadratic forms over dyadic local fields

Abstract

Let $n$ be an integer and $n\ge 2$. 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.

This version has been accepted for publication in manuscripta mathematica