• 제목/요약/키워드: Even 2-universal quadratic form

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EVEN 2-UNIVERSAL QUADRATIC FORMS OF RANK 5

  • Ji, Yun-Seong;Kim, Myeong Jae;Oh, Byeong-Kweon
    • 대한수학회지
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    • 제58권4호
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    • pp.849-871
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    • 2021
  • A (positive definite integral) quadratic form is called even 2-universal if it represents all even quadratic forms of rank 2. In this article, we prove that there are at most 55 even 2-universal even quadratic forms of rank 5. The proofs of even 2-universalities of some candidates will be given so that exactly 20 candidates remain unproven.