Periods of the (k:(\lambda_1,\alpha_1),(\lambda_2,\alpha_2),\ldots,(\lambda_k,\alpha_k)) -step Fibonacci functions modulo m

Authors

  • Oualid Djouabi Laboratory of Applied Mathematics, Department of Mathematics, Kasdy Merbah University, Ouargla, Algeria
  • Nesrine Harrouche Department of Mathematics, Mohamed Seddik Ben Yahia University, Jijel, Algeria
  • Ali Boussayoud LMAM, Department of Mathematics, Mohamed Seddik Ben Yahia University, Jijel, Algeria https://orcid.org/0000-0001-5553-3240

Abstract

This paper aims to establish the existence of the primitive period of the 
$\left( k:(\lambda_1,\alpha_1),(\lambda_2,\alpha_2),\ldots, (\lambda_k,\alpha_k)\right) $-step Fibonacci functions modulo $m$.

Published

11/28/2025