ON PARTITION CONGRUENCES FOR OVERCUBIC PARTITION PAIRS

Title & Authors
ON PARTITION CONGRUENCES FOR OVERCUBIC PARTITION PAIRS
Kim, Byung-Chan;

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 $\small{\bar{cp}(n)}$ be the number of overcubic partition pairs. Then we will prove the following congruences: $\small{\bar{cp}(8n+7){\equiv}0(mod\;64)\;and\;\bar{cp}(9m+3){\equiv}0(mod\;3)}$.
Keywords
partition;cubic partition;overcubic partition pair;
Language
English
Cited by
1.
Congruences modulo 27 for cubic partition pairs, Journal of Number Theory, 2017, 171, 31
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