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- W2964313426 abstract "We study integral ratios of hook products of quotient partitions. This question is motivated by an analogous question in number theory concerning integral factorial ratios. We prove an analogue of a theorem of Landau that already applied in the factorial case. Under the additional condition that the ratio has one more factor on the denominator than the numerator, we provide a complete classification. Ultimately this relies on Kneser's theorem in additive combinatorics. Nous étudions les fractions de produits d'équerres de partitions quotients. Cette question fait écho à une question en théorie des nombres sur les quotients entiers de factorielles. Nous prouvons un analogue du théorème de Landau, qui aidait déjà dans le cas des factorielles. Sous l'hypothèse supplémentaire d'une fraction avec un facteur de plus au dénominateur qu'au numérateur, nous obtenons une classification complète. Cette partie de la preuve repose sur un théorème de Kneser en combinatoire additive." @default.
- W2964313426 created "2019-07-30" @default.
- W2964313426 creator A5063283785 @default.
- W2964313426 date "2012-01-01" @default.
- W2964313426 modified "2023-09-24" @default.
- W2964313426 title "Integrality of hook ratios" @default.
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- W2964313426 doi "https://doi.org/10.46298/dmtcs.3022" @default.
- W2964313426 hasPublicationYear "2012" @default.
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