Geodesic
Congruence Relationships for Integral Recurrences
Canadian mathematical bulletin, Tome 5 (1962) no. 3, pp. 281-284

Voir la notice de l'article provenant de la source Cambridge

DOI

A sequence {un}, n=0, 1, 2, 3,... is said to be an integral recurrence of order r if the terms satisfy the equation for n=r+1, r+2,..., and a1, a2,..., ar are integers, ar≠0. In this case we will say that {un} satisfies the relation [a1, a2,..., ar]. The sequence {un} is uniquely determined when u1, u2,..., ur are given specified values. If u1, u2,..., ur are integers all the terms of {un} are integers. The generating function f(t)=u1t + u2t2+... takes on the form where Q(t) depends on the values of u1, u2,..., ur and R(t)=tr-a1tr-1-a2tr-2-...-ar. We will refer to R(t) as the characteristic polynomial of the recurrence. 
Mendelsohn, N. S. Congruence Relationships for Integral Recurrences. Canadian mathematical bulletin, Tome 5 (1962) no. 3, pp. 281-284. doi: 10.4153/CMB-1962-028-9
@article{10_4153_CMB_1962_028_9,
     author = {Mendelsohn, N. S.},
     title = {Congruence {Relationships} for {Integral} {Recurrences}},
     journal = {Canadian mathematical bulletin},
     pages = {281--284},
     year = {1962},
     volume = {5},
     number = {3},
     doi = {10.4153/CMB-1962-028-9},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1962-028-9/}
}
TY  - JOUR
AU  - Mendelsohn, N. S.
TI  - Congruence Relationships for Integral Recurrences
JO  - Canadian mathematical bulletin
PY  - 1962
SP  - 281
EP  - 284
VL  - 5
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1962-028-9/
DO  - 10.4153/CMB-1962-028-9
ID  - 10_4153_CMB_1962_028_9
ER  - 
%0 Journal Article
%A Mendelsohn, N. S.
%T Congruence Relationships for Integral Recurrences
%J Canadian mathematical bulletin
%D 1962
%P 281-284
%V 5
%N 3
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1962-028-9/
%R 10.4153/CMB-1962-028-9
%F 10_4153_CMB_1962_028_9

Cité par Sources :