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In arithmetic combinatorics, Behrend's theorem states that the subsets of the integers from 1 to in which no member of the set is a multiple of any other must have a logarithmic density that goes to zero as becomes large. The theorem is named after Felix Behrend, who published it in 1935. (en) En théorie combinatoire des nombres, le théorème de Behrend énonce que les ensembles d'entiers compris entre 1 et dans lesquels aucun élément n'est multiple d'un autre ont une densité logarithmique qui tend vers 0 lorsque tend vers l'infini. Le théorème porte le nom de (en), qui le publie en 1935. (fr) |
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In arithmetic combinatorics, Behrend's theorem states that the subsets of the integers from 1 to in which no member of the set is a multiple of any other must have a logarithmic density that goes to zero as becomes large. The theorem is named after Felix Behrend, who published it in 1935. (en) En théorie combinatoire des nombres, le théorème de Behrend énonce que les ensembles d'entiers compris entre 1 et dans lesquels aucun élément n'est multiple d'un autre ont une densité logarithmique qui tend vers 0 lorsque tend vers l'infini. Le théorème porte le nom de (en), qui le publie en 1935. (fr) |
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Behrend's theorem (en) Théorème de Behrend (fr) |
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