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math.CO2026
Combinatorial proofs of some identities on overpartitions with repeated smallest non-overlined part
Nayandeep Deka Baruah, Haijun Li, Pankaj Jyoti Mahanta
Let denote the number of overpartitions of where the smallest non-overlined part, say , appears times and every overlined part is bigge…
math.CO2025
Sequences of odd length in strict partitions IV: the combinatorics of parameterized Rogers-Ramanujan type identities
Haijun Li
In the first three papers, we conducted a series of discussions on the statistics of strict partitions and Rogers-Ramanujan partitions, specifically the sequences of odd length (de…
math.CO2025
The combinatorics of identities involving overpartitions with distinct parts
Haijun Li
Recently, Andrews and EI Bachraoui discovered several companions for some famous -series formulas, and derived some new identities involving partitions and overpartitions with d…