Introducing q-deformed binomial coefficients of words

Gaussian binomial coefficients are q-analogues of the binomial coefficients of integers. On the other hand, binomial coefficients have been extended to finite words, i.e., elements of a finitely generated free monoid. In this paper, we bring these two notions together by introducing q-analogues of b...

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Bibliographic Details
Main Authors: Antoine Renard, Michel Rigo, Markus Whiteland
Format: Default Article
Published: 2025
Subjects:
Pure mathematics
binomial coefficients of words
q-deformations
q-binomials
p-group languages
formal series
Online Access:https://hdl.handle.net/2134/28518419.v1
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