Wiles's proof of Fermat's Last Theorem is a proof by British mathematician Sir Andrew Wiles of a special case of the modularity theorem for elliptic curves...
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Proof of Fermat's last theorem may refer to: Wiles's proof of Fermat's Last Theorem Proof of Fermat's Last Theorem for specific exponents This disambiguation...
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In number theory, Fermat's Last Theorem (sometimes called Fermat's conjecture, especially in older texts) states that no three positive integers a, b,...
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Fermat's Last Theorem is a popular science book (1997) by Simon Singh. It tells the story of the search for a proof of Fermat's Last Theorem, first conjectured...
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work on Fermat's Last Theorem, Wiles set out to prove the modularity theorem for semistable elliptic curves, which implied Fermat's Last Theorem. By 1993...
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modularity theorem for semistable elliptic curves, which was enough to imply Fermat's Last Theorem. Later, a series of papers by Wiles's former students...
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Geometry (redirect from Applications of geometry)
areas of mathematics that are apparently unrelated. For example, methods of algebraic geometry are fundamental in Wiles's proof of Fermat's Last Theorem, a...
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set of all theorems of a theory, although one cannot prove them individually. An exception is the original Wiles's proof of Fermat's Last Theorem, which...
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the theorem. But not everyone was "satisfied" with Wiles's proof because it used twentieth century mathematical techniques not available in Fermat's time...
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Elliptic curve (redirect from Discriminant of an elliptic curve)
and constitute a major area of current research; for example, they were used in Andrew Wiles's proof of Fermat's Last Theorem. They also find applications...
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Fermat's Last Theorem is a theorem in number theory, originally stated by Pierre de Fermat in 1637 and proven by Andrew Wiles in 1995. The statement of...
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Infinity (redirect from History of infinity)
nothing to do with them. For example, Wiles's proof of Fermat's Last Theorem implicitly relies on the existence of Grothendieck universes, very large infinite...
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Ken Ribet (category Fermat's Last Theorem)
Herbrand–Ribet theorem and Ribet's theorem, which were key ingredients in the proof of Fermat's Last Theorem, as well as for his service as President of the American...
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Barry Mazur (category Members of the United States National Academy of Sciences)
mathematics include his contributions to Wiles's proof of Fermat's Last Theorem in number theory, Mazur's torsion theorem in arithmetic geometry, the Mazur swindle...
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according to this conjecture, Fermat's Last Theorem should have an elementary proof; Wiles's proof of Fermat's Last Theorem is not elementary. However,...
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his Fermat's principle for light propagation and his Fermat's Last Theorem in number theory, which he described in a note at the margin of a copy of Diophantus'...
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as "Fermat's Last Theorem" has repeatedly received attention in fiction and popular culture. It was proved by Andrew Wiles in 1994. The theorem plays...
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in Wiles's proof of Fermat's Last Theorem): Duality (mathematics), Eben Matlis; Dualizing module, Popescu's theorem, Artin approximation theorem. This...
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applications to number theory, which include, in particular, Wiles's proof of Fermat's Last Theorem. In the complex plane a generalized circle is either a line...
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have been written during the 358 years between Fermat's statement and Wiles's proof. The fundamental theorem can be derived from Book VII, propositions 30...
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Fermat's Last Tango is a 2000 off-Broadway musical about the proof of Fermat's Last Theorem, written by husband and wife Joshua Rosenblum (music, lyrics)...
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Jean-Pierre Serre and proven by Ken Ribet. The proof was a significant step towards the proof of Fermat's Last Theorem (FLT). As shown by Serre and Ribet, the...
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Hilbert's irreducibility theorem is used as a step in the Andrew Wiles proof of Fermat's Last Theorem. If a polynomial g ( x ) ∈ Z [ x ] {\displaystyle g(x)\in...
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Marilyn vos Savant (category American people of Austrian descent)
proved Fermat's Last Theorem, Savant published the book The World's Most Famous Math Problem (October 1993), which surveys the history of Fermat's Last Theorem...
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Gerhard Frey (category Academic staff of the University of Erlangen-Nuremberg)
solution to the Fermat equation, that is central to Wiles's proof of Fermat's Last Theorem. He studied mathematics and physics at the University of Tübingen...
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Serre's modularity conjecture (category Theorems in number theory)
Society, pp. 143–232, ISBN 978-0-8218-2173-2, MR 1860042 Wiles's proof of Fermat's Last Theorem Serre's Modularity Conjecture[usurped] 50 minute lecture...
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Scheme (mathematics) (redirect from Category of schemes)
geometry with much of number theory, which eventually led to Wiles's proof of Fermat's Last Theorem. Schemes elaborate the fundamental idea that an algebraic...
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problems Thurston's 24 questions List of unsolved problems in mathematics Wiles's proof of Fermat's Last Theorem The reference to Hecke in Problem 12 was...
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Irreducible element (category Algebraic properties of elements)
proofs of Fermat's Last Theorem that were given during the three centuries between Fermat's statement and Wiles's proof of Fermat's Last Theorem. If R {\displaystyle...
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Actual infinity (category Philosophy of mathematics)
350 years later. The original Wiles's proof of Fermat's Last Theorem, used not only the full power of ZF with the axiom of choice, but used implicitly a...
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