A NEW INEQUALITY FOR THE HERMITE CONSTANTS
2008 ◽
Vol 04
(03)
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pp. 363-386
Keyword(s):
We describe continuous increasing functions Cn(x) such that γn ≥ Cn(γn-1) where γm is Hermite's constant in dimension m. This inequality yields a new proof of the Minkowski–Hlawka bound Δn ≥ ζ(n)21-n for the maximal density Δn of n-dimensional lattice packings.
1991 ◽
Vol 49
◽
pp. 914-915
2007 ◽
Vol 7
(3)
◽
pp. 239-254
◽
Keyword(s):
Keyword(s):
1991 ◽
Vol 06
(39)
◽
pp. 3591-3600
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Keyword(s):
2005 ◽
Vol 2005
(3)
◽
pp. 273-288
◽
1997 ◽
Vol 52
(2)
◽
pp. 327-340
◽
Keyword(s):