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arXiv · 1303.3481

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

Christian Kassel·Christophe Reutenauer
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Abstract

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.

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Christian Kassel, Christophe Reutenauer. 2014-03-13. Algebraicity of the zeta function associated to a matrix over a free group algebra. https://doi.org/10.2140/ant.2014.8.497.

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