Resumen de Algebraic properties of the Lefschetz zeta function, periodic points and topological entropy

Josefina Casasayas Mas , Jaume Llibre , Ana Nunes

• The Lefschetz zeta function associated to a continuous self-map f of a compact manifold is a rational function P/Q. According to the parity of the degrees of the polynomials P and Q, we analyze when the set of periodic points of f is infinite and when the topological entropy is positive.