Combinatorial proof of a result on generalized overcubic partitions and related conjectures

Abstract

Extending Sellers' result, Das et al. recently proved some congruence results for generalized overcubic partitions using theta functions and posed some related conjectures. In this paper, we provide a combinatorial proof of a result in modulo $4$ of Das et al. and confirm some of their conjectures.

arXiv comment10 pages