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On the factorization of iterated polynomials

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Autor(es):
Reis, Lucas
Número total de Autores: 1
Tipo de documento: Artigo Científico
Fonte: REVISTA MATEMATICA IBEROAMERICANA; v. 36, n. 7, p. 22-pg., 2020-01-01.
Resumo

Let F-q be the finite field with q elements and f, g is an element of F-q[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 F-q, 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. Gomez-Perez, A. Ostafe and I. Shparlinski (2014). (AU)

Processo FAPESP: 18/03038-2 - Mapas polinomiais em corpos finitos e suas aplicações
Beneficiário:Lucas da Silva Reis
Modalidade de apoio: Bolsas no Brasil - Pós-Doutorado