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arXiv · 1909.01833

Quadratic forms with a strong regularity property on the representations of squares

Kyoungmin Kim·Byeong-Kweon Oh
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Abstract

A (positive definite and non-classic integral) quadratic form is called strongly $s$-regular if it satisfies a strong regularity property on the number of representations of squares of integers. In this article, we prove that for any integer $k \ge 2$, there are only finitely many isometry classes of strongly $s$-regular quadratic forms with rank $k$ if the minimum of the nonzero squares that are represented by them is fixed.

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Kyoungmin Kim, Byeong-Kweon Oh. 2019-09-04. Quadratic forms with a strong regularity property on the representations of squares. https://arxiv.org/abs/1909.01833

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