Combinatorial proofs of several partition identities of Andrews and Merca
Combinatorics
2024-11-19 v1 Number Theory
Abstract
Based on a bijection due to Fu and Tang, we provide combinatorial proofs of several partition identities of Andrews and Merca. We also introduce two weights for partitions to extend one of these identities.
Keywords
Cite
@article{arxiv.2411.11815,
title = {Combinatorial proofs of several partition identities of Andrews and Merca},
author = {Ji-Cai Liu and Huan Liu},
journal= {arXiv preprint arXiv:2411.11815},
year = {2024}
}
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9 pages