On Moduli for Which the Fibonacci Sequence Contains a Reduced Residue System

The Fibonacci Quarterly 2026

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Authors: Jordan Roque V. Cadeliña, Jerome Tomagan Dimabayao
DOI: 10.1080/00150517.2025.2540630
Cited by: 0
References: 10

Abstract

In this note, we investigate the moduli for which the Fibonacci numbers contain a reduced system of residues. We also conduct a similar analysis for the Lucas numbers.

Fields of Study & Subjects

Advanced Mathematical Theories and Applications semigroups and automata theory Coding theory and cryptography

Publication details

Journal / source
The Fibonacci Quarterly
Volume
64
Issue
1
Pages
35–40
Publication date
2 January 2026
Language
EN