1 citations · 1 across the 1 of their papers we have counts for
5 papers
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…
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…
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.
A MacMahon Analysis View of Cylindric Partitions
Runqiao Li, Ali K. Uncu
We study cylindric partitions with two-element profiles using MacMahon's partition analysis. We find explicit formulas for the generating functions of the number of cylindric parti…
Iterated Resultants and Rational Functions in Real Quantifier Elimination
James H. Davenport, Matthew England, Scott McCallum +1
This paper builds and extends on the authors' previous work related to the algorithmic tool, Cylindrical Algebraic Decomposition (CAD), and one of its core applications, Real Quant…