Repdigits as absolute value of difference between Lucas and Fibonacci numbers
In this paper, we investigate the Diophantine equation |Ln₁ − Fn₂| = d(10m − 1) / 9, where (Ln)n ≥ 0 and (Fn)n ≥ 0 are respectively Lucas and Fibonacci sequences, d ∈ {1, ..., 9} and m ≥ 1. All solutions of the aforementioned equation are provided.
Authors
- Salifou Nikiéma (ORCID: https://orcid.org/0000-0003-4321-3121)
- Charles Wend-Waoga Tougma
Institutions
- Université Ouaga II (BF)
- Centre Hospitalier Universitaire Yalgado Ouédraogo (BF)
Publication Details
- Journal
- Gulf Journal of Mathematics
- Published
- 2025-04-20
- DOI
- https://doi.org/10.56947/gjom.v19i2.2680
- Primary Topic
- Advanced Mathematical Theories and Applications
- Type
- article
- Field-Weighted Citation Impact
- 0.00