On a few Diophantine equations, in particular, Fermat's Last Theorem.
Levesque, C. (2003)
International Journal of Mathematics and Mathematical Sciences
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Levesque, C. (2003)
International Journal of Mathematics and Mathematical Sciences
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Vâjâitu, M., Zaharescu, A. (2001)
Portugaliae Mathematica. Nova Série
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Luca, Florian (2002)
International Journal of Mathematics and Mathematical Sciences
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Walsh, P.G. (2005)
Integers
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Makoto Nagata (2003)
Acta Arithmetica
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Christoph Baxa (2000)
Mathematica Slovaca
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M. N. Huxley (2004)
Acta Arithmetica
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Arif, S. Akhtar, Al-Ali, Amal S. (2002)
International Journal of Mathematics and Mathematical Sciences
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Stroeker, Roel J., de Weger, Benjamin M.M. (1994)
Experimental Mathematics
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Lampakis, Elias (2008)
Integers
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Tatiana Lavrinenko (2002)
Revue d'histoire des mathématiques
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This article concerns the problem of solving diophantine equations in rational numbers. It traces the way in which the 19th century broke from the centuries-old tradition of the purely algebraic treatment of this problem. Special attention is paid to Sylvester’s work “On Certain Ternary Cubic-Form Equations” (1879–1880), in which the algebraico-geometrical approach was applied to the study of an indeterminate equation of third degree.