Arithmetic properties for 7-regular partition triples
Arithmetic properties for 7-regular partition triples
Let Tℓ(n) denote the number of ℓ-regular partition triples of n. In this paper, we consider the arithmetic properties of T7(n). An infinite family of congruences modulo powers of 7 and several congruences modulo 7 are established. For instance, we prove that for all n ≥ 0 and α ≥ …