A Breakthrough in Sphere Packing: The Search for Magic Functions

A. Schürmann, F. Vallentin, Local covering optimality of lattices: Leech lattice versus root lattice E8

1955

Earlier work this paper cites.

J.H. Conway and N.J.A. Sloane, Sphere Packings, Lattices and Groups

1988

Earlier work this paper cites.

H. Cohn, N.D. Elkies, New upper bounds on sphere packings I

2003

Cited alongside, same era.

H. Cohn and A. Kumar, Optimality and uniqueness of the Leech lattice among lattices, Ann. of Math

2009

Cited alongside, same era.

H. Cohn, A. Kumar, S.D. Miller, D. Radchenko, M.S. Viazovska, The sphere packing problem in dimension 24 24

Original

Cited in the paper.

H. Cohn, S.D. Miller, Some properties of optimal functions for sphere packing in dimensions 8 8 and 24 24

Original

Cited in the paper.

T.C. Hales, M. Adams, G. Bauer, D. Tat Dang, J. Harrison, T. Le Hoang, C. Kaliszyk, V. Magron, S. McLaughlin, T. Tat Nguyen, T. Quang Nguyen, T. Nipkow, S. Obua, J. Pleso, J. Rute, A. Solovyev, A. Hoai Thi Ta, T. Nam Tran, D. Thi Trieu, J. Urban, K. Khac Vu, and R. Zumkeller, A formal proof of the Kepler conjecture

Original

Cited in the paper.

M.S. Viazovska, The sphere packing problem in dimension 8 8

Original

Cited in the paper.

M. Dutour Sikirić, A. Schürmann, F. Vallentin, Inhomogeneous extreme forms

Original

2012

Later among the works it cites.

D. de Laat, F.M. de Oliveira Filho, F. Vallentin, Upper bounds for packings of spheres of several radii

Original

2014

Later among the works it cites.