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• W2105890093 abstract "This is a survey on Diophantine equations, with the purpose being to give the flavour of some known results on the subject and to describe a few open problems. We will come across Fermat's last theorem and its proof by Andrew Wiles using the modularity of elliptic curves, and we will exhibit other Diophantine equations which were solved à la Wiles. We will exhibit many families of Thue equations, for which Baker's linear forms in logarithms and the knowledge of the unit groups of certain families of number fields prove useful for finding all the integral solutions. One of the most difficult conjecture in number theory, namely, the ABC conjecture , will also be described. We will conclude by explaining in elementary terms the notion of modularity of an elliptic curve." @default.
• W2105890093 created "2016-06-24" @default.
• W2105890093 creator A5018209336 @default.
• W2105890093 date "2003-01-01" @default.
• W2105890093 modified "2023-09-23" @default.
• W2105890093 title "On a few Diophantine equations, in particular, Fermat's last theorem" @default.
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• W2105890093 doi "https://doi.org/10.1155/s0161171203210668" @default.
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