Combinatorial proof of a result on generalized overcubic partitions and related conjectures
Number Theory
2025-12-05 v1
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 of Das et al. and confirm some of their conjectures.
Keywords
Cite
@article{arxiv.2512.04775,
title = {Combinatorial proof of a result on generalized overcubic partitions and related conjectures},
author = {Suparno Ghoshal and Arijit Jana},
journal= {arXiv preprint arXiv:2512.04775},
year = {2025}
}
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10 pages