6 papers
On the arithmetic properties of partitions into parts simultaneously -regular and -distinct
Mohammed L. Nadji, Moussa Ahmia
In 2017, Keith presented a comprehensive survey on integer partitions into parts that are simultaneously regular, distinct, and/or flat. Recently, the authors initiated a study of…
Signed Mahonian Polynomials on Colored Derangements
Hasan Arslan, Moussa Ahmia, Nazmiye Alemdar
The polynomial of major index over a classical Weyl group with a generating set is called the Mahonian polynomial over , and also the polynom…
Combinatorics of three-Catalan numbers and some positivities
Boualam Rezig, Moussa Ahmia
We introduce the three-Catalan triangle, highlighting the three-Catalan numbers along with their recurrence relation and combinatorial interpretation, which allows us to establish…
Inversions in Colored Permutations, Derangements, and Involutions
Moussa Ahmia, José L. RamÃrez, Diego Villamizar
Arslan, Altoum, and Zaarour introduced an inversion statistic for generalized symmetric groups. In this work, we study the distribution of this statistic over colored permutations,…
Enumeration on polyominoes determined by Catalan words avoiding
M. Ahmia, J. -L. Baril, B. Rezig
A Catalan word of length that avoids the pattern is a sequence with and for all , while ensuring that no s…
Over-Mahonian numbers: Basic properties and unimodality
Ali Kessouri, Moussa Ahmia, Salim Mesbahi
In this paper, we introduce the concept of the over-Mahonian number, which counts the overlined permutations of length with inversions, allowing the first elements associat…