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math.NT2016★ 293 cited
The sphere packing problem in dimension 24
Henry Cohn, Abhinav Kumar, Stephen D. Miller +2
Building on Viazovska's recent solution of the sphere packing problem in eight dimensions, we prove that the Leech lattice is the densest packing of congruent spheres in twenty-fou…
math.NT2016★ 283 cited
The sphere packing problem in dimension 8
Maryna Viazovska
In this paper we prove that no packing of unit balls in Euclidean space has density greater than that of the -lattice packing.