Three proofs of Minkowski's second inequality in the geometry of numbers
1965 ◽
Vol 5
(4)
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pp. 453-462
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Keyword(s):
Let K be a bounded, open convex set in euclidean n-space Rn, symmetric in the origin 0. Further let L be a lattice in Rn containing 0 and put extended over all positive real numbers ui for which uiK contains i linearly independent points of L. Denote the Jordan content of K by V(K) and the determinant of L by d(L). Minkowski's second inequality in the geometry of numbers states that Minkowski's original proof has been simplified by Weyl [6] and Cassels [7] and a different proof hasbeen given by Davenport [1].
1966 ◽
Vol 6
(2)
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pp. 148-152
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Keyword(s):
1962 ◽
Vol 14
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pp. 597-601
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2000 ◽
Vol 130
(6)
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pp. 1227-1236
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1962 ◽
Vol 13
(2)
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pp. 143-152
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1986 ◽
Vol 99
(3)
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pp. 535-545
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Keyword(s):
2016 ◽
Vol 19
(1)
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pp. 98-104
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1997 ◽
Vol 55
(1)
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pp. 147-160
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Keyword(s):
2015 ◽
Vol 92
(1)
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pp. 77-93
1967 ◽
Vol 63
(1)
◽
pp. 99-106
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Keyword(s):
1989 ◽
Vol 40
(3)
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pp. 429-439