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

Published 4 Dec 2025 in math.NT | (2512.04775v1)

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.

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