2 problems

The first-two-layers conjecture for spherical designs of Euclidean lattices
Let $\Lambda$ be a lattice, and let $M_1(\Lambda)$ and $M_2(\Lambda)$ denote its first and second layers. A finite subset of a sphere is a spherical $2$ -design when it satisfies th…
openeuclidean-lattices spherical-designs
0 responses
06
Lehmer-type shell design conjecture for two-dimensional Euclidean lattices
Shell design conjecture. The following assertions hold:
openeuclidean-lattices quadratic-forms spherical-designs
0 responses
04

The first-two-layers conjecture for spherical designs of Euclidean lattices