Diagonal odd-regular ternary quadratic forms

Mingyu Kim

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arXiv · 2007.05017

Diagonal odd-regular ternary quadratic forms

Mingyu Kim

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Abstract

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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Mingyu Kim. 2020-07-09. Diagonal odd-regular ternary quadratic forms. https://arxiv.org/abs/2007.05017

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