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http://dx.doi.org/10.4134/CKMS.2012.27.3.477

ON PARTITION CONGRUENCES FOR OVERCUBIC PARTITION PAIRS  

Kim, Byung-Chan (School of Liberal Arts Seoul National University of Science and Technology)
Publication Information
Communications of the Korean Mathematical Society / v.27, no.3, 2012 , pp. 477-482 More about this Journal
Abstract
In this note, we investigate partition congruences for a certain type of partition function, which is named as the overcubic partition pairs in light of the literature. Let $\bar{cp}(n)$ be the number of overcubic partition pairs. Then we will prove the following congruences: $$\bar{cp}(8n+7){\equiv}0(mod\;64)\;and\;\bar{cp}(9m+3){\equiv}0(mod\;3)$$.
Keywords
partition; cubic partition; overcubic partition pair;
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