The Artin-Mazur Zeta Function of a Dynamically Affine Rational Map in Positive Characteristic
Andrew Bridy1
1 University of Rochester RC Box 270138 Rochester, NY, 14627 USA
Journal de théorie des nombres de Bordeaux, Volume 28 (2016) no. 2, pp. 301-324.

We determine the rationality or the transcendence of the Artin-Mazur zeta function of a dynamically affine self-map of ℙ 1 (k) for k an algebraically closed field of positive characteristic.

Soit k un corps algébriquement clos de caractéristique positive. Nous déterminons la rationalité ou la transcendance de la fonction zêta d’Artin-Mazur d’une fonction dynamiquement affine ℙ 1 (k)→ℙ 1 (k).

Received:
Accepted:
Published online:
DOI: 10.5802/jtnb.941
Classification: 37P05, 11G20, 11B85
Keywords: Arithmetic dynamics, algebraic groups, automatic sequences, finite fields.

Andrew Bridy 1

1 University of Rochester RC Box 270138 Rochester, NY, 14627 USA 
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Andrew Bridy. The Artin-Mazur Zeta Function of a Dynamically Affine Rational Map in Positive Characteristic. Journal de théorie des nombres de Bordeaux, Volume 28 (2016) no. 2, pp. 301-324. doi : 10.5802/jtnb.941. https://jtnb.centre-mersenne.org/articles/10.5802/jtnb.941/

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