Irreducible factors of the \(q\)-Lah numbers over \(\mathbb{Z}\)

Qing Zou 1
1Department of Mathematics, The University of Iowa, Iowa City, IA 52242, USA

Abstract

In this paper, we first give a new \( q \)-analogue of the Lah numbers. Then we show the irreducible factors of the \( q \)-Lah numbers over \( \mathbb{Z} \).

Keywords: Lah Numbers, q-Lah Numbers, Irreducible, Cyclotomic Polynomial