Diophantine Equations Related to Linear Recurrence Sequences

dc.contributor.advisorTengely, Szabolcs
dc.contributor.authorHashim, Hayder Raheem
dc.contributor.authorvariantHashim, Hayder Raheem
dc.contributor.departmentMatematika- és számítástudományok doktori iskolahu
dc.contributor.submitterdepDE--Természettudományi és Technológiai Kar -- Doctoral School of Mathematical and Computational Sciences
dc.date.accessioned2021-03-04T13:37:02Z
dc.date.available2021-03-04T13:37:02Z
dc.date.created2021hu_HU
dc.date.defended2021-05-18
dc.description.abstractThe 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.hu_HU
dc.description.correctorLB
dc.format.extent132hu_HU
dc.identifier.urihttp://hdl.handle.net/2437/303458
dc.language.isoenhu_HU
dc.subjectDiophantine equationshu_HU
dc.subjectLucas sequences
dc.subjectrepdigits
dc.subjectMarkoff equation
dc.subjectelliptic curves
dc.subject.disciplineMatematika- és számítástudományokhu
dc.subject.sciencefieldTermészettudományokhu
dc.titleDiophantine Equations Related to Linear Recurrence Sequenceshu_HU
dc.title.translatedDiophantine Equations Related to Linear Recurrence Sequenceshu_HU
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