吊钩比完整性
Integrality of hook ratios
摘要：
研究了商分拆的钩积的积分比。这个问题是由数论中关于整阶乘比的一个类似问题引起的。我们证明了一个类似的朗道定理，已经适用于阶乘的情况下。在比率的分母比分子多一个因子的附加条件下，我们提供了一个完整的分类。最终，这依赖于可加组合学中的Kneser定理。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
