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EVEN 2-UNIVERSAL QUADRATIC FORMS OF RANK 5

김명재|오병권|지윤성
대한수학회 (The Korean Mathematical Society)|2021.07|대한수학회지 (Journal of the KMS)|제58권 제4호|pp. 849-871|DOI 10.4134/JKMS.j200290

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참고문헌

키워드

Even 2-universal quadratic form.
주제분류수학

초록

A (positive de nite 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.

Abstract

A (positive de nite 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.

참고문헌 (21)

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