The Artin-Mazur zeta function of a dynamically affine rational map in positive characteristic

DOI10.5802/jtnb.941zbMath1393.37109arXiv1306.5267OpenAlexW2963158453MaRDI QIDQ2630468

Andrew Bridy

Publication date: 27 July 2016

Published in: Journal de Théorie des Nombres de Bordeaux (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1306.5267

zbMATH Keywords

finite fieldautomatic sequencesalgebraic grouparithmetic dynamics

Mathematics Subject Classification ID

Transcendence theory of other special functions (11J91) Curves over finite and local fields (11G20) Arithmetic and non-Archimedean dynamical systems involving polynomial and rational maps (37P05)

Related Items (5)

Periodic points and tail lengths of split polynomial maps modulo primes ⋮ A general criterion for the Pólya-Carlson dichotomy and application ⋮ Noncommutative motives in positive characteristic and their applications ⋮ Dynamically affine maps in positive characteristic ⋮ Dynamics on abelian varieties in positive characteristic

Cites Work

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• Arithmétique des algèbres de quaternions
• Algebraic entropy
• On periodic points
• Moduli Spaces and Arithmetic Dynamics
• Transcendence of the Artin–Mazur zeta function for polynomial maps of A¹(F_p)
• The Arithmetic of Elliptic Curves
• Automatic Sequences
• Dynamical degree, arithmetic entropy, and canonical heights for dominant rational self-maps of projective space
• Degree-growth of monomial maps

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