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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… 
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Related topics

Related topics

6 relations
David RuelleFixed point (mathematics)Ihara zeta functionIterated function

Papers overview

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2019
2019
Duality and contravariant functors in the representation theory of artin algebras
  • Samuel Dean
  • Journal of Algebra and Its Applications
  • 2019
  • Corpus ID: 54186337
We know that the model theory of modules leads to a way of obtaining definable categories of modules over a ring [Formula: see… 
2014
2014
The Eigencurve is Proper
We prove that the Coleman-Mazur eigencurve is proper over the weight space for any prime p and tame level N. 
2013
2013
The Artin-Mazur Zeta Function of a Dynamically Affine Rational Map in Positive Characteristic
A dynamically affine map is a finite quotient of an affine morphism of an algebraic group. We determine the rationality or… 
2012
2012
Transcendence of the Artin-Mazur Zeta Function for Polynomial Maps of A^1(F_p)
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
2012
Chirped-Pulse Oscillators: Route to the Energy-Scalable Femtosecond Pulses
In the last decade, femtosecond pulse technology has evolved extremely rapidly and allowed achieving a few-optical-cycle pulse… 
Highly Cited
2010
Highly Cited
2010
Fooled by first impressions? Reexamining the diagnostic value of appearance-based inferences
2004
2004
An involution acting nontrivially on Heegard-Floer homology
We show that a certain involution on the well known homology sphere (the boundary of the Mazur manifold) induces a nontrivial… 
2004
2004
Artin-Mazur Zeta Function on Trees with Infinite Edges
We generalize for trees, with infinite edges and finite branching points, the Milnor-Thurston’s main relationship between… 
2001
2001
Derivatives of p-adic L-functions, Heegner cycles and monodromy modules attached to modular forms
In this paper we prove a Gross-Zagier type formula for the anticyclotomic p-adic L-function of an elliptic modular form f of… 
1960
1960
THE NONTRIVIALITY OF THE RESTRICTION MAP IN THE COHOMOLOGY OF GROUPS
An unpublished result2 of B. Mazur states that if ir is any nontrivial finite group then there is an i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… 
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