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On classic n-universal quadratic forms over dyadic local fields (2206.04885v2)
Published 10 Jun 2022 in math.NT
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, respectively.
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