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 cp̄(n) be the number of overcubic partition pairs. Then we will prove the following congruences: cp̄(8n + 7) ≡ 0 (mod 64) and cp̄(9m + 3) ≡ 0 (mod 3).
| Original language | English |
|---|---|
| Pages (from-to) | 477-482 |
| Number of pages | 6 |
| Journal | Communications of the Korean Mathematical Society |
| Volume | 27 |
| Issue number | 3 |
| DOIs | |
| State | Published - 2012 |
Keywords
- Cubic partition
- Overcubic partition pair
- Partition