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2014
- handle: 10670/1.yc5lpu
- Kassel, Christian et Reutenauer, Christophe (2014). « Algebraicity of the zeta function associated to a matrix over a free group algebra ». Algebra & Number Theory, 8(2), pp. 497-511.
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http://dx.doi.org/10.2140/ant.2014.8.497
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doi:10.2140/ant.2014.8.497
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Christian Kassel et al., « Algebraicity of the zeta function associated to a matrix over a free group algebra », UQAM Archipel : articles scientifiques, ID : 10670/1.yc5lpu
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Résumé
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.