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arxiv: 1303.3481 · v5 · pith:BGAKBZKMnew · submitted 2013-03-14 · 🧮 math.CO · math.CA

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

classification 🧮 math.CO math.CA
keywords functionzetamatrixalgebraalgebraicalgebraicityassociateassociated
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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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