Some exponential diophantine equations
Date
2013-12
Authors
Mabaso, Automan Sibusiso
Journal Title
Journal ISSN
Volume Title
Publisher
Stellenbosch : Stellenbosch University
Abstract
ENGLISH ABSTRACT: The aim of this thesis is to study some methods used in solving exponential Diophan-
tine equations. There is no generic method or algorithm that can be used in solving all
Diophantine equations. The main focus for our study will be solving the exponential Dio-
phantine equations using the modular approach and the linear forms in two logarithms
approach.
AFRIKAANSE OPSOMMING: Die doel van hierdie tesis is om sommige metodes te bestudeer om sekere Diophantiese vergelykings op te los. Daar is geen metode wat alle Diophantiese vergelykings kan oplos nie. Die fokus van os studie is hoofsaaklik om eksponensiele Diophantiese vergelykings op te los met die modul^ere metode en met die metode van line^ere vorms in twee logaritmes.
AFRIKAANSE OPSOMMING: Die doel van hierdie tesis is om sommige metodes te bestudeer om sekere Diophantiese vergelykings op te los. Daar is geen metode wat alle Diophantiese vergelykings kan oplos nie. Die fokus van os studie is hoofsaaklik om eksponensiele Diophantiese vergelykings op te los met die modul^ere metode en met die metode van line^ere vorms in twee logaritmes.
Description
Thesis (MSc)--Stellenbosch University, 2013.
Keywords
Diophantine equations, Dissertations -- Mathematical sciences, Theses -- Mathematical sciences