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arXiv · 2512.04775

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

Suparno Ghoshal·Arijit Jana
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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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Suparno Ghoshal, Arijit Jana. 2025-12-04. Combinatorial proof of a result on generalized overcubic partitions and related conjectures. https://arxiv.org/abs/2512.04775

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