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math.CO2026★ 1 cited
A MacMahon Analysis View of 4 Diagonal DSPPs
Runqiao Li, Ali K. Uncu
We study skew double-shifted plane partitions with three-element profiles using MacMahon's partition analysis. We present new generating function formulas for these partitions, inc…
math.CO2026
A Weighted Words Study of MacMahon's and Russell's Modulo 6 Identities
Ali K. Uncu
We give new proofs of MacMahon and Russell's modulo 6 identities using the method of weighted words. We also present a new refinement of MacMahon's identity, some related finite su…
math.NT2026
Combinatorial Proofs of Ismail's Identities on Al-Salam--Chirara Polynomials
Ali K. Uncu
We present new proofs of two identities arising in the work of Mourad Ismail using partition theoretic generating function interpretations.