Proofs of two conjectures on congruences of overcubic partition triples

Jiayu Chen, Jing Jin, Olivia X. M. Yao

Let $\overline{bt}(n)$ denote the number of overcubic partition triples of $n$. Nayaka, Dharmendra and Kumar proved some congruences modulo 8, 16 and 32 for $\overline{bt}(n)$. Rec…