New Invariants for Integral Lattices
Ryota Hayasaka, Tsuyoshi Miezaki, Masahiko Toki · Interdisciplinary Information Sciences · 2019
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.