论文标题

对角线奇数三元二次形式

Diagonal odd-regular ternary quadratic forms

论文作者

Kim, Mingyu

论文摘要

如果代表局部表示的每个奇数正整数,则(正定义的原始积分)二次形式称为奇数。在本文中,我们表明,最多有147个对角线奇数三元二次形式,并证明了除6个候选者外的所有奇数。

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 6 candidates.

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