Work

Solutions of the Jin-Schmidt Equation in Lucas Numbers

Year: 2025
Type: article
Abstract: 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.
Institution: University of Kufa
Language: English
Open Access status: bronze
OpenAlex ID: W4414146744
FWCI: 1.865
Cites: 16
Cited by: 1
Related to: 10