Abstract
The goal of this paper is to prove two new congruences involving 4-cores using elementary techniques; namely, if a4(n) denotes the number of 4-cores of n, then a4(9n + 2) ≡ 0 (mod 2) and a4(9n + 8) ≡ 0 (mod 4).
| Original language | English (US) |
|---|---|
| Article number | R10 |
| Pages (from-to) | 1-8 |
| Number of pages | 8 |
| Journal | Electronic Journal of Combinatorics |
| Volume | 3 |
| Issue number | 2 R |
| State | Published - 1996 |
| Externally published | Yes |
Keywords
- Congruence
- Partitions
- t-cores