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Diagonal odd-regular ternary quadratic forms
Journal of Number Theory ( IF 0.7 ) Pub Date : 2021-02-23 , DOI: 10.1016/j.jnt.2021.01.014 Mingyu Kim
中文翻译:
对角奇正三元二次形式
更新日期:2021-02-25
Journal of Number Theory ( IF 0.7 ) Pub Date : 2021-02-23 , DOI: 10.1016/j.jnt.2021.01.014 Mingyu Kim
A (positive definite primitive integral) quadratic form is called odd-regular if it represents every odd positive integer which is locally represented. In this paper, we show that there are at most 147 diagonal odd-regular ternary quadratic forms and prove the odd-regularities of all but six candidates.
中文翻译:
对角奇正三元二次形式
如果一个(正定本原积分)二次形式表示局部表示的每个奇数正整数,则称其为奇数正则。在本文中,我们证明了最多有147个对角奇数正则三进制二次形式,并证明了除6个候选者外所有奇数正则性。