2 papers
math.CO2024
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…
math.CO2024
Combinatorics of -Mahonian numbers of type and log-concavity
Ali Kessouri, Moussa Ahmia, Hasan Arslan +1
This paper is a continuation of earlier work of Arslan \cite{Ars}, who introduced the Mahonian number of type by using a new statistic on the hyperoctahedral group , in…