| dbo:abstract |
En théorie additive des nombres et en combinatoire, une somme restreinte d'ensembles est[réf. souhaitée] un ensemble de la forme où A1, … , An sont des parties d'un groupe abélien G et B est une partie de Gn. Le groupe G considéré est souvent le groupe additif d'un anneau commutatif, comme l'anneau ℤ des entiers ou un anneau ℤ/nℤ. Si l'ensemble B qu'on exclut est vide, S est simplement la somme d'ensembles usuelle A1 + … + An (notée nA si tous les Ak sont égaux à un même ensemble A). Si B est l'ensemble des n-uplets d'éléments non tous distincts, alors S est noté ou encore lorsque tous les Ak sont égaux à A. (fr) In additive number theory and combinatorics, a restricted sumset has the form where are finite nonempty subsets of a field F and is a polynomial over F. If is a constant non-zero function, for example for any , then S is the usual sumset which is denoted by nA if . When S is written as which is denoted by if . Note that |S |
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| dbp:title |
Erdős-Heilbronn Conjecture (en) |
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Erdos-HeilbronnConjecture (en) |
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| rdfs:comment |
In additive number theory and combinatorics, a restricted sumset has the form where are finite nonempty subsets of a field F and is a polynomial over F. If is a constant non-zero function, for example for any , then S is the usual sumset which is denoted by nA if . When S is written as which is denoted by if . Note that |S |
| rdfs:label |
Somme restreinte d'ensembles (fr) Restricted sumset (en) |
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freebase:Restricted sumset wikidata:Restricted sumset dbpedia-fr:Restricted sumset https://global.dbpedia.org/id/51Pxq |
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