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THE PRODUCT OF PARTS OR “NORM” OF A PARTITION

机译:分区的零件或“常态”的产物

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摘要

In this article we study the “norm” of an integer partition, which we define to be the product of the parts. This partition-theoretic statistic has appeared here and there in the literature of the last century or so, and is at the heart of current research by both authors. We survey known results and give new results related to this all-but-overlooked object, which, it turns out, plays a comparable role in partition theory to the size, length, and other standard partition statistics.
机译:在本文中,我们研究了一个整数分区的“常态”,我们定义为零件的产品。此分区理论统计论在这里和上个世纪左右的文献中出现,并且在这位作者的目前研究的核心中。我们调查了已知结果,并提供与此全面忽视的对象相关的新结果,结果在分区理论中扮演大小,长度和其他标准分区统计信息。

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