@article{10902/8028,
year = {2014},
url = {http://hdl.handle.net/10902/8028},
abstract = {We use the theory of resultants to study the stability, that is, the property of having all iterates irreducible, of an arbitrary polynomial f over a finite field Fq. This result partially generalizes the quadratic polynomial case described by R. Jones and N. Boston. Moreover, for p = 3, we show that certain polynomials of degree three are not stable. We also use the Weil bound for multiplicative character sums to estimate the number of stable polynomials over a finite field of odd characteristic.},
publisher = {European Mathematical Society},
publisher = {Revista Matemática Iberoamericana, Vol. 30, N. 2 (2014), Pp. 523-535},
title = {Stable Polynomials over Finite Fields},
author = {Gómez Pérez, Domingo and Nicolás, Alejandro P. and Ostafe, Alina and Sadornil Renedo, Daniel},
}