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Specializations and Extensions of the quantum MacMahon Master Theorem

Dominique Foata, Guo-Niu Han

math.COarXiv:math/0603466

Abstract

We study some specializations and extensions of the quantum version of the MacMahon Master Theorem derived by Garoufalidis, Le and Zeilberger. In particular, we obtain a (t,q)-analogue for the Cartier-Foata noncommutative version and a semi-strong (t,q)-analogue for the contextual algebra.

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