Improved sphere packing lower bounds from Hurwitz lattices

H. Minkowski, Diskontinuitätsbereich für arithmetische Äquivalenz

1905

Earlier work this paper cites.

H. Minkowski, Geometrie der Zahlen

1910

Earlier work this paper cites.

E. Hlawka, Zur Geometrie der Zahlen

1944

Earlier work this paper cites.

H. Davenport and C.A. Rogers, Hlawka’s theorem in the geometry of numbers

1947

Earlier work this paper cites.

C.A. Rogers, Existence theorems in the geometry of numbers

1947

Earlier work this paper cites.

P.M. Gruber and C.G. Lekkerkerker, Geoemetry of numbers

1987

Earlier work this paper cites.

J.R. Munkres, Analysis on manifolds

1991

Earlier work this paper cites.

K. Ball, Lower bound for the optimal density of lattice packings

1992

Cited alongside, same era.

J.H. Conway and N.J.A. Sloane, What are all the best sphere packings in low dimensions?

1995

Cited alongside, same era.

J.H. Conway and N.J.A. Sloane, Sphere packings, lattices and groups

1999

Cited alongside, same era.

C. Zong, Sphere packings

Original

1999

Cited alongside, same era.

J. Martinet, Perfect lattices in Euclidean space

2003

Cited alongside, same era.

I. Reiner, Maximal orders

2003

Cited alongside, same era.

T.C. Hales, A proof of the Kepler conjecture

2005

Later among the works it cites.

T. Kotnik and H. te Riele, The Mertens conjecture revisited

2006

Later among the works it cites.

S. Torquato and F.H. Stillinger, New conjectural lower bounds on the optimal density of sphere packings

2006

Later among the works it cites.

T. Aste and D. Weaire, The pursuit of perfect packing

2008

Later among the works it cites.

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

2009

Later among the works it cites.

S. Vance, A Mordell inequality for lattices over maximal orders

2010

Later among the works it cites.