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arXiv · 1609.03633

Using Periodicity to Obtain Partition Congruences

Ali H. Al-Saedi
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Abstract

In this paper, we generalize recent work of Mizuhara, Sellers, and Swisher that gives a method for establishing restricted plane partition congruences based on a bounded number of calculations. Using periodicity for partition functions, our extended technique could be a useful tool to prove congruences for certain types of combinatorial functions based on a bounded number of calculations. As applications of our result, we establish new and existing restricted plane partition congruences, restricted plane overpartition congruences and several examples of restricted partition congruences.

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Ali H. Al-Saedi. 2017-04-13. Using Periodicity to Obtain Partition Congruences. https://arxiv.org/abs/1609.03633

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