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Estimates of the number of relative minima of lattices

โœ Scribed by A. A. Illarionov


Book ID
110149891
Publisher
SP MAIK Nauka/Interperiodica
Year
2011
Tongue
English
Weight
634 KB
Volume
89
Category
Article
ISSN
0001-4346

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๐Ÿ“œ SIMILAR VOLUMES


Minima of Odd Unimodular Lattices in Dim
โœ Mark Gaulter ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 147 KB

Rains and Sloane established that the minimum of a unimodular Z-lattice in dimension 24m is bounded above by 2m+2. They conjectured that only even lattices could attain this bound. In this paper, I prove their conjecture.