Artin–Mazur zeta function

Known as: Artin, Artin-Mazur zeta function

In mathematics, the Artin–Mazur zeta function, named after Michael Artin and Barry Mazur, is a function that is used for studying the iterated…

Papers overview

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2017

In this paper, we study the Artin-Mazur zeta function of a generalization of the well-known β-transformation introduced by Góra…

2015

2013

A dynamically affine map is a finite quotient of an affine morphism of an algebraic group. We determine the rationality or…

2013

2012

We study the rationality of the Artin-Mazur zeta function of a dynamical system defined by a polynomial self-map of A^1(k), where…

2012

In the last decade, femtosecond pulse technology has evolved extremely rapidly and allowed achieving a few-optical-cycle pulse…

2007

In this paper, thanks to the work of M. Lazard, we obtain some new evidence for the conjecture of Fontaine-Mazur in the spirit of…

2004

We generalize for trees, with infinite edges and finite branching points, the Milnor-Thurston’s main relationship between…

1992

This paper presents the conjugate gradient and Lanczos methods in a matrix framework, focusing mostly on orthogonality properties…

1960

An unpublished result2 of B. Mazur states that if ir is any nontrivial finite group then there is an i> 0 such that Hi(Qr, Z) $0…