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 On partition congruences for overcubic partition pairs Commun. Korean Math. Soc. 2012 Vol. 27, No. 3, 477-482 https://doi.org/10.4134/CKMS.2012.27.3.477Printed September 1, 2012 Byungchan Kim Seoul National University of Science and Technology 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 $\overline{cp}(n)$ be the number of overcubic partition pairs. Then we will prove the following congruences: \begin{align*} \overline{cp}(8n+7) \equiv 0 \pmod{64} \quad\mbox{and}\quad \overline{cp}(9m+3) \equiv 0 \pmod{3}. \end{align*} Keywords : partition, cubic partition, overcubic partition pair MSC numbers : 11P83 Downloads: Full-text PDF

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