English

Effective formulas for linear recurrence sequences of integers

Combinatorics 2020-02-28 v1 Number Theory

Abstract

We propose a new definition of effective formulas for problems in enumerative combinatorics. We outline the proof of the fact that every linear recurrence sequence of integers has such a formula. It follows from a lower bound that can be deduced from the Skolem-Mahler-Lech theorem and the Subspace Theorem. We will give details of this deduction that is due to P. Corvaja in the full version of this extended abstract.

Keywords

Cite

@article{arxiv.2002.11964,
  title  = {Effective formulas for linear recurrence sequences of integers},
  author = {Martin Klazar},
  journal= {arXiv preprint arXiv:2002.11964},
  year   = {2020}
}

Comments

13 pages

R2 v1 2026-06-23T13:55:43.997Z