English

Identities for the k-generalized Fibonacci sequence with negative indices and its zero-multiplicity

Number Theory 2022-11-02 v1

Abstract

In this paper, we prove identities for members of the k-generalized Fibonacci sequence with negative indices and we apply these identities to deduce an exact formula for its zero-multiplicity.

Keywords

Cite

@article{arxiv.2211.00248,
  title  = {Identities for the k-generalized Fibonacci sequence with negative indices and its zero-multiplicity},
  author = {J. García and C. A. Gómez and F. Luca},
  journal= {arXiv preprint arXiv:2211.00248},
  year   = {2022}
}
R2 v1 2026-06-28T04:54:16.691Z