2019/03/20 by Ryota Hayasaka, Hayasaka, Ryota, Tsuyoshi Miezaki +3
Engineering · Computer Science · Mathematics · #graph theory and CDMA systems #Digital Image Processing Techniques #Mathematical Dynamics and Fractals
paper · pdf · doi:10.48550/arxiv.1903.08433
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.