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

Zilong He

doi:10.1007/s00229-023-01516-0

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

Number Theory 2025-12-29 v3

Authors: 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.

Keywords

quadratic forms class number of quadratic fields

Cite

@article{arxiv.2206.04885,
  title  = {On classic $n$-universal quadratic forms over dyadic local fields},
  author = {Zilong He},
  journal= {arXiv preprint arXiv:2206.04885},
  year   = {2025}
}

Comments

This version has been accepted for publication in manuscripta mathematica

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