Convergents of folded continued fractions
We continue the investigation of convolutions of second order linear recursive sequences (see the first part in [1]). In this paper, we focus on the case when the characteristic polynomials of the sequences have common root.
On caractérise les puissances -ièmes dans un corps quadratique réel et dans à l’aide des polynômes de Dickson. Ces mêmes polynômes sont utilisés pour obtenir des renseignements sur l’indice du groupe des unités d’un ordre non-maximal dans le groupe de toutes les unités d’un corps quadratique réel. Le texte est détaillé et élémentaire.
We add a sufficient condition for validity of Propo- sition 4.10 in the paper Frougny et al. (2004). This condition is not a necessary one, it is nevertheless convenient, since anyway most of the statements in the paper Frougny et al. (2004) use it.
We add a sufficient condition for validity of Propo- sition 4.10 in the paper Frougny et al. (2004). This condition is not a necessary one, it is nevertheless convenient, since anyway most of the statements in the paper Frougny et al. (2004) use it.
Theorem 1 of J.-J. Lee, Congruences for certain binomial sums. Czech. Math. J. 63 (2013), 65–71, is incorrect as it stands. We correct this here. The final result is changed, but the essential idea of above mentioned paper remains valid.