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arXiv · 2206.04885

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

Zilong He
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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.

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Zilong He. 2022-06-10. On classic $n$-universal quadratic forms over dyadic local fields. https://doi.org/10.1007/s00229-023-01516-0

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