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arXiv · 2006.15361

Real quadratic fields admitting universal lattices of rank7

Byeong Moom Kim·Myung-Hwan KIm·Dayoon Park
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Abstract

In this paper, we will prove that if $d$ is sufficiently large square-free positive rational integer, then there is no integral septenary universal quadratic lattice over $\mathcal{O}_F$ where $F=\mathbb Q(\sqrt{d})$.

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Byeong Moom Kim, Myung-Hwan KIm, Dayoon Park. 2021-04-04. Real quadratic fields admitting universal lattices of rank7. https://arxiv.org/abs/2006.15361

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