English

On some arithmetic conditions of recurrent sequences modulo prime p

Number Theory 2026-05-26 v1

Abstract

We study the KK-Fibonacci sequence Fp\mathcal{F}_p modulo prime pp. Cardinalities of sets Fp+Fp|\mathcal{F}_p+\mathcal{F}_p| and FpFp|\mathcal{F}_p\cdot\mathcal{F}_p| are estimated. We present the method of estimating doubling constant of some mm-dimensional recurrent sets in Fp\mathbb{F}_p.

Keywords

Cite

@article{arxiv.2605.24146,
  title  = {On some arithmetic conditions of recurrent sequences modulo prime p},
  author = {Ilya Vyugin and Sashadhar Dutta},
  journal= {arXiv preprint arXiv:2605.24146},
  year   = {2026}
}
R2 v1 2026-07-22T07:29:19.562Z