|
Search: id:A054909
|
|
|
| A054909 |
|
Number of 8n-dimensional even unimodular lattice (or quadratic forms). |
|
+0
5
|
| |
|
|
OFFSET
|
0,3
|
|
|
REFERENCES
|
J. H. Conway and N. J. A. Sloane, "Sphere Packings, Lattices and Groups", Springer-Verlag, p. 49.
|
|
LINKS
|
S. R. Finch, Minkowski-Siegel mass constants
|
|
CROSSREFS
|
Cf. A005134, A054907, A054908, A054911.
Sequence in context: A067837 A089987 A118812 this_sequence A100816 A079612 A066585
Adjacent sequences: A054906 A054907 A054908 this_sequence A054910 A054911 A054912
|
|
KEYWORD
|
nonn,nice,hard,bref
|
|
AUTHOR
|
njas, May 23 2000
|
|
EXTENSIONS
|
The classical mass formula shows that the next term is at least 8*10^7.
Oliver King and Richard Borcherds (reb(AT)math.berkeley.edu) have recently improved this estimate and have shown that a(4), the number in dimension 32, is at least 10^9 (Jul 22, 2000)
|
|
|
Search completed in 0.002 seconds
|
