Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4672853 | Indagationes Mathematicae | 2014 | 9 Pages |
Abstract
In this paper, we consider third-order linear recurrences {un}n≥0{un}n≥0 satisfying the recurrence relation un+3=un+2+un+1+unun+3=un+2+un+1+un for all n≥0n≥0 and investigate the multiplicity of its zeros. We prove that {un}n≥0{un}n≥0 has zero-multiplicity at most 2, except for nonzero multiples of shifts of the Tribonacci sequence which has zero-multiplicity 4 when the indices are extended to all the integers.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Carlos Alexis Gómez Ruiz, Florian Luca,