Markov triples with two Fibonacci components
Rendiconti del Seminario Matematico della Università di Padova, Tome 148 (2022), pp. 213-243.
Le texte intégral des articles récents est réservé aux abonnés de la revue. Consultez l'article sur le site de la revue.

In this paper, we prove that there are at most finitely many pairs of Fibonacci numbers (x,y)=(F m ,F n ) with the property that m≤n and the pair (m,n)∉{(1,2r-1),(1,2),(2,2r+1),(2r+1,2r+3):r≥1} such that (x,y,z) is a Markov triple for some integer z.

Accepté le :
Publié le :
DOI : 10.4171/rsmup/99
Classification : 11 
@article{RSMUP_2022__148__213_0,
     author = {Luca, Florian},
     title = {Markov triples with two {Fibonacci} components},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     pages = {213--243},
     volume = {148},
     year = {2022},
     doi = {10.4171/rsmup/99},
     mrnumber = {4542379},
     zbl = {07673828},
     language = {en},
     url = {http://archive.numdam.org/articles/10.4171/rsmup/99/}
}
TY  - JOUR
AU  - Luca, Florian
TI  - Markov triples with two Fibonacci components
JO  - Rendiconti del Seminario Matematico della Università di Padova
PY  - 2022
SP  - 213
EP  - 243
VL  - 148
UR  - http://archive.numdam.org/articles/10.4171/rsmup/99/
DO  - 10.4171/rsmup/99
LA  - en
ID  - RSMUP_2022__148__213_0
ER  - 
%0 Journal Article
%A Luca, Florian
%T Markov triples with two Fibonacci components
%J Rendiconti del Seminario Matematico della Università di Padova
%D 2022
%P 213-243
%V 148
%U http://archive.numdam.org/articles/10.4171/rsmup/99/
%R 10.4171/rsmup/99
%G en
%F RSMUP_2022__148__213_0
Luca, Florian. Markov triples with two Fibonacci components. Rendiconti del Seminario Matematico della Università di Padova, Tome 148 (2022), pp. 213-243. doi : 10.4171/rsmup/99. http://archive.numdam.org/articles/10.4171/rsmup/99/

Cité par Sources :