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arXiv · 1903.08433

New invariants for integral lattices

Ryota Hayasaka·Tsuyoshi Miezaki·Masahiko Toki
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Abstract

Let $Λ$ be any integral lattice in Euclidean space. It has been shown that for every integer $n>0$, there is a hypersphere that passes through exactly $n$ points of $Λ$. Using this result, we introduce new lattice invariants and give some computational results related to two-dimensional Euclidean lattices of class number one.

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Ryota Hayasaka, Tsuyoshi Miezaki, Masahiko Toki. 2020-02-26. New invariants for integral lattices. https://arxiv.org/abs/1903.08433

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