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首页> 外文期刊>INTEGERS: electronic journal of Combinatorial Number Theory >A PERIODIC APPROACH TO PLANE PARTITION CONGRUENCES
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A PERIODIC APPROACH TO PLANE PARTITION CONGRUENCES

机译:平面分区同时的定期方法

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摘要

Ramanujan’s celebrated congruences of the partition function p(n) have inspired a vast amount of results on various partition functions. Kwong’s work on periodicity of rational polynomial functions yields a general theorem used to establish congruences for restricted plane partitions. This theorem provides a novel proof of several classical congruences and establishes two new congruences. We additionally prove several new congruences which do not fit the scope of the theorem, using only elementary techniques, or a relationship to existing multipartition congruences.
机译:Ramanujan的庆祝活动的分区功能P(n)启发了各种分区函数的大量结果。 Kwong关于合理多项式职能的周期性的工作产生了用于建立限制平面分区的同时的通用定理。本定理提供了几种古典同时的新颖证明,并建立了两个新的同时。我们还可以为仅使用基本技术,或与现有的多分体一致性的关系来证明几个新的同时性。

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