On a binary recurrent sequence of polynomials

Euler, Reinhardt, Gallardo, Luis H., and Luca, Florian. "On a binary recurrent sequence of polynomials." Communications in Mathematics 22.2 (2014): 151-157. <http://eudml.org/doc/269842>.

@article{Euler2014,
abstract = {In this paper, we study the properties of the sequence of polynomials given by $g_0=0,~g_1=1$, $g_\{n+1\}=g_n+\Delta g_\{n-1\}$ for $n\ge 1$, where $\Delta \in \{\mathbb \{F\}\}_q[t]$ is non-constant and the characteristic of $\{\mathbb \{F\}\}_q$ is $2$. This complements some results from R. Euler, L.H. Gallardo: On explicit formulae and linear recurrent sequences, Acta Math. Univ. Comenianae, 80 (2011) 213-219.},
author = {Euler, Reinhardt, Gallardo, Luis H., Luca, Florian},
journal = {Communications in Mathematics},
keywords = {sequences of binary polynomials; Stern-Brocot sequence; perfect fields of characteristic 2; sequences of binary polynomials; Stern-Brocot sequence; perfect fields of characteristic 2},
language = {eng},
number = {2},
pages = {151-157},
publisher = {University of Ostrava},
title = {On a binary recurrent sequence of polynomials},
url = {http://eudml.org/doc/269842},
volume = {22},
year = {2014},
}

TY - JOUR
AU - Euler, Reinhardt
AU - Gallardo, Luis H.
AU - Luca, Florian
TI - On a binary recurrent sequence of polynomials
JO - Communications in Mathematics
PY - 2014
PB - University of Ostrava
VL - 22
IS - 2
SP - 151
EP - 157
AB - In this paper, we study the properties of the sequence of polynomials given by $g_0=0,~g_1=1$, $g_{n+1}=g_n+\Delta g_{n-1}$ for $n\ge 1$, where $\Delta \in {\mathbb {F}}_q[t]$ is non-constant and the characteristic of ${\mathbb {F}}_q$ is $2$. This complements some results from R. Euler, L.H. Gallardo: On explicit formulae and linear recurrent sequences, Acta Math. Univ. Comenianae, 80 (2011) 213-219.
LA - eng
KW - sequences of binary polynomials; Stern-Brocot sequence; perfect fields of characteristic 2; sequences of binary polynomials; Stern-Brocot sequence; perfect fields of characteristic 2
UR - http://eudml.org/doc/269842
ER -