• 제목/요약/키워드: overcubic partition pair

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ON PARTITION CONGRUENCES FOR OVERCUBIC PARTITION PAIRS

  • Kim, Byung-Chan
    • 대한수학회논문집
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    • 제27권3호
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    • pp.477-482
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    • 2012
  • 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: $$\bar{cp}(8n+7){\equiv}0(mod\;64)\;and\;\bar{cp}(9m+3){\equiv}0(mod\;3)$$.