Primitively $2$-universal senary integral quadratic forms
| Autor: | Oh, Byeong-Kweon, Yoon, Jongheun |
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| Rok vydání: | 2023 |
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| Druh dokumentu: | Working Paper |
| Popis: | For a positive integer $m$, a (positive definite integral) quadratic form is called primitively $m$-universal if it primitively represents all quadratic forms of rank $m$. It was proved in arXiv:2202.13573 that there are exactly $107$ equivalence classes of primitively $1$-universal quaternary quadratic forms. In this article, we prove that the minimal rank of primitively $2$-universal quadratic forms is six, and there are exactly $201$ equivalence classes of primitively $2$-universal senary quadratic forms. Comment: 35 pages |
| Databáze: | arXiv |
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