Resumen de On the factorization of iterated polynomials

Lucas Reis

• Let Fq be the finite field with q elements and f,g∈Fq[x] be polynomials of degree at least one. This paper deals with the asymptotic growth of certain arithmetic functions associated to the factorization of the iterated polynomials f(g(n)(x)) over Fq, such as the largest degree of an irreducible factor and the number of irreducible factors. In particular, we provide significant improvements on the results of D. Gómez-Pérez, A. Ostafe and I. Shparlinski (2014).