Diophantine Equations Related to Linear Recurrence Sequences

Dátum
Szerzők
Hashim, Hayder Raheem
Folyóirat címe
Folyóirat ISSN
Kötet címe (évfolyam száma)
Kiadó
Absztrakt
The 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.
Leírás
Kulcsszavak
Diophantine equations, Lucas sequences, repdigits, Markoff equation, elliptic curves
Forrás