| Autor: |
Behera, Mitashree, Ray, Prasanta Kumar |
| Předmět: |
|
| Zdroj: |
International Journal of Number Theory; Nov2024, Vol. 20 Issue 10, p2491-2507, 17p |
| Abstrakt: |
In this paper, we prove that there are finitely many multiplicative dependent vectors with coordinates from non-degenerate linear recurrence sequences { u n } n ≥ 1 − s of a fixed order s ≥ 2. These sequences satisfy the recurrence relation u n = c 1 u n − 1 + c 2 u n − 2 + ⋯ + c s u n − s with initials u 1 − s = u 2 − s = ⋯ = u − 1 = 0 , u 0 = 1. Here, the coefficients of the recurrence relation are positive integers satisfying c 1 > 1 + c 2 + ⋯ + c s or c 1 ≥ c 2 ≥ ⋯ ≥ c s. In both these conditions, c 1 ≥ 4. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
|
