Geodesic
Multiplicative dependence in linear recurrence sequences
Canadian mathematical bulletin, Tome 68 (2025) no. 4, pp. 1278-1288

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DOI

For a wide class of integer linear recurrence sequences $(u(n))_{n=1}^\infty $, we give an upper bound on the number of s-tuples $\left (n_1, \ldots , n_s\right ) \in \left ({\mathbb Z}\cap [M+1,M+ N]\right )^s$ such that the corresponding elements $u(n_1), \ldots , u(n_s)$ in the sequence are multiplicatively dependent.
DOI : 10.4153/S0008439525000475
Mots-clés : Multiplicative dependence, linear recurrence sequences, ÷ is or s 
Bérczes, Attila; Hajdu, Lajos; Ostafe, Alina; Shparlinski, Igor E. Multiplicative dependence in linear recurrence sequences. Canadian mathematical bulletin, Tome 68 (2025) no. 4, pp. 1278-1288. doi: 10.4153/S0008439525000475
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     title = {Multiplicative dependence in linear recurrence sequences},
     journal = {Canadian mathematical bulletin},
     pages = {1278--1288},
     year = {2025},
     volume = {68},
     number = {4},
     doi = {10.4153/S0008439525000475},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008439525000475/}
}
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