191 citations · 293 across the 22 of their papers we have counts for
26 papers
Graph binomial coefficients and a positivity conjecture of Guo and Krattenthaler
Madjid Mirzavaziri, Daniel Yaqubi
We investigate Conjecture 7.4 of Guo and Krattenthaler \cite{GK}, which predicts that for every positive integer , the polynomial \[ P_n(q) = \frac{(1-q)^2}{(1-q^{10n-1})(1-q^{1…
Riordan Arrays and Shifted Hankel Determinants of OEIS A005773
Daniel Yaqubi, Madjid Mirzavaziri
We study two Riordan arrays associated with the Motzkin-prefix sequence (\href{https://oeis.org/A005773}{OEIS A005773}). By connecting their production matrices through a simple bo…
Cyclic Latin Eulerian Numbers
Madjid Mirzavaziri, Daniel Yaqubi
We introduce the directed cyclic difference inventory to study Latin Eulerian numbers restricted to row-reorderings of the cyclic Latin square, offering an orient…
Latin Eulerian Numbers
Madjid Mirzavaziri, Daniel Yaqubi
We introduce \emph{Latin Eulerian numbers} $\LE{n\atop k_1,\dots,k_n}$, a multivariate refinement of classical Eulerian numbers counting order- Latin squares by column ascents.…
A Combinatorial Problem in Cinema Seating
Madjid Mirzavaziri, Daniel Yaqubi
We address a problem concerning cinema audiences: ``A cinema has seats numbered from to , and there are people with tickets numbered from to . People enter th…
Prime and Touchard Congruences of Mixed-Type Bell Numbers
Daniel Yaqubi, Madjid Mirzavaziri
This paper establishes a comprehensive combinatorial and arithmetic framework for mixed Stirling and mixed Bell numbers, bridging partition structures, Touchard polynomials, and pr…