Solutions of the Jin-Schmidt Equation in Lucas Numbers
In this paper, we study the integer solutions of the following equation that is so called the Jin-Schmidt equation, AX2+BY2+CZ2=DXYZ+1, where (X,Y,Z)=(Li,Lj,Lk), with i,j,k≥1 such that Li, Lj and Lk represent terms in the Lucas sequence that is defined by the relation L0=2, L1=1, Ln+1=Ln+Ln−1 with n≥1.
Authors
- Hayder R. Hashim (ORCID: https://orcid.org/0000-0001-5408-7496)
- Qasim N. Alabrahimi
Publication Details
- Journal
- Malaysian Journal of Mathematical Sciences
- Published
- 2025-09-09
- DOI
- https://doi.org/10.47836/mjms.19.3.12
- Primary Topic
- Advanced Mathematical Theories and Applications
- Type
- article
- Field-Weighted Citation Impact
- 0.00