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Abstract: Motivated by a question of van der Poorten about the existence of an infinite chain of prime numbers (with respect to some base), in this paper we advance the study of sequences of consecutive polynomials whose coefficients are chosen consecutively from a sequence in a finite field of odd prime characteristic. We study the arithmetic of such sequences, including bounds for the largest degree of irreducible factors, the number of irreducible factors, as well as for the number of such sequences of fixed length in which all the polynomials are irreducible.
Fuente: Finite Fields and Their Applications, 2018, 50, 35-65
Editorial: Elsevier
Fecha de publicación: 01/03/2018
Nº de páginas: 31
Tipo de publicación: Artículo de Revista
DOI: 10.1016/j.ffa.2017.11.002
ISSN: 1071-5797,1090-2465
Proyecto español: MTM2014-55421-P
Url de la publicación: https://doi.org/10.1016/j.ffa.2017.11.002
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DOMINGO GOMEZ PEREZ
OSTAFE, ALINA
SHA, MIN
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