Tengely, SzabolcsHashim, Hayder Raheem2021-03-042021-03-042021http://hdl.handle.net/2437/303458The aim of this dissertation is to investigate the solutions of some Diophantine equations connected to linear recurrence sequences. We firstly study the integer solutions of Diophantine equations related to reciprocals and repdigits with linear recurrence sequences, respectively. Finally, we present techniques with which we can investigate the nontrivial integer solutions of equations of the form G(X,Y,Z):=AX^2+ BY^r+CZ^2 involving certain binary linear recurrence sequences.132enDiophantine equationsLucas sequencesrepdigitsMarkoff equationelliptic curvesMatematika- és számítástudományokTermészettudományok