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An inequality for the
density of the sum of sets of vectors in n-dimensional space
Allen Roy Freedman |
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Vol. 19 (1966), No. 2, 265–267
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Abstract |
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A Schnirelmann type density is defined for sets of “nonnegative” lattice points. If A, B and C = A + B are such sets with densities α, β and γ respectively, then it is shown that γ ≧ β∕(1 −α) provided α + β < 1. |
Mathematical Subject Classification
Primary: 10.63
Secondary: 10.45
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Milestones
Received: 12 June 1965
Published: 1 November 1966
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Authors |
| Allen Roy Freedman | |
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