Fibonacci sequences in 𝔽 <i> <sub>p</sub> </i>

We prove a conjecture due to Gica [2]. Our proof is simple, uses only elementary abstract algebra, and generalizes to other recursive sequences.

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Publication Details

Journal
The Fibonacci Quarterly
Published
2026-04-27
DOI
https://doi.org/10.1080/00150517.2025.2545259
Primary Topic
Advanced Mathematical Theories and Applications
Type
article
Field-Weighted Citation Impact
0.00

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article

Fibonacci sequences in 𝔽 p

Menny Aka
The Fibonacci Quarterly
Advanced Mathematical Theories and Applications
article

Fibonacci sequences in 𝔽 p

Menny Aka
article en

Abstract

We prove a conjecture due to Gica [2]. Our proof is simple, uses only elementary abstract algebra, and generalizes to other recursive sequences.

The Fibonacci Quarterly
ETH Zurich (CH)
Schweizerischer Nationalfonds zur Fƶrderung der Wissenschaftlichen Forschung
Openalex Percentile: Top 98%
Advanced Mathematical Theories and Applications
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