Algebraicity of the zeta function associated to a matrix over a free group algebra [article]

Christian Kassel, Christophe Reutenauer
2013 arXiv   pre-print
Following and generalizing a construction by Kontsevich, we associate a zeta function to any matrix with entries in a ring of noncommutative Laurent polynomials with integer coefficients. We show that such a zeta function is an algebraic function.
arXiv:1303.3481v4 fatcat:hgc2nrk6tjdldcshv3wb3ix6om