• Thumbnail for Wiles's proof of Fermat's Last Theorem
    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...
    58 KB (5,813 words) - 08:53, 30 June 2025
  • 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...
    4 KB (321 words) - 07:58, 3 January 2025
  • 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...
    224 bytes (54 words) - 22:57, 12 January 2014
  • Thumbnail for Fermat's Last Theorem
    In number theory, Fermat's Last Theorem (sometimes called Fermat's conjecture, especially in older texts) states that no three positive integers a, b,...
    103 KB (11,717 words) - 20:15, 12 July 2025
  • 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...
    19 KB (2,359 words) - 08:53, 30 June 2025
  • Thumbnail for Andrew Wiles
    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...
    32 KB (3,075 words) - 08:55, 30 June 2025
  • 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...
    102 KB (10,065 words) - 16:31, 26 June 2025
  • Thumbnail for Theorem
    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...
    34 KB (4,409 words) - 00:49, 4 April 2025
  • the theorem. But not everyone was "satisfied" with Wiles's proof because it used twentieth century mathematical techniques not available in Fermat's time...
    28 KB (3,169 words) - 01:56, 10 June 2025
  • 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...
    54 KB (5,155 words) - 13:31, 12 April 2025
  • Thumbnail for 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...
    54 KB (8,439 words) - 06:57, 19 June 2025
  • Thumbnail for Ken Ribet
    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...
    10 KB (871 words) - 22:59, 10 July 2025
  • Thumbnail for Infinity
    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...
    54 KB (6,115 words) - 21:45, 19 June 2025
  • Thumbnail for Barry Mazur
    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...
    11 KB (922 words) - 05:57, 25 January 2025
  • 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...
    11 KB (1,274 words) - 23:45, 26 August 2024
  • 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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  • Thumbnail for Fundamental theorem of arithmetic
    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...
    23 KB (3,274 words) - 10:44, 5 June 2025
  • Thumbnail for Pierre de Fermat
    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'...
    22 KB (2,376 words) - 19:34, 18 June 2025
  • 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...
    12 KB (1,703 words) - 11:09, 1 June 2025
  • in Wiles's proof of Fermat's Last Theorem): Duality (mathematics), Eben Matlis; Dualizing module, Popescu's theorem, Artin approximation theorem. This...
    41 KB (5,688 words) - 04:58, 30 June 2025
  • 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)...
    18 KB (1,981 words) - 08:14, 28 May 2025
  • 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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  • 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...
    44 KB (7,139 words) - 07:51, 25 June 2025
  • Thumbnail for Number theory
    depends crucially on the genus of the curve. A major achievement of this approach is Wiles's proof of Fermat's Last Theorem, for which other geometrical...
    81 KB (9,977 words) - 15:36, 28 June 2025
  • Examples of Cohen-Macaulay integral domains Examples of Cohen-Macaulay rings Ring theory Local rings Gorenstein local rings Wiles's proof of Fermat's Last Theorem...
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  • Poisson summation formula (category Theorems in mathematical analysis)
    in Wiles's proof of Fermat's Last Theorem. The left-hand side of Eq.1 becomes a sum over irreducible unitary representations of G {\displaystyle G} ...
    30 KB (4,951 words) - 03:09, 20 April 2025
  • 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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  • 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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  • numbers with the square root of integers down to −5. Wiles's proof of Fermat's Last Theorem Some authors use different conventions, allowing an additional...
    31 KB (4,651 words) - 00:20, 3 March 2025
  • Thumbnail for Gerhard Frey (mathematician)
    Gerhard Frey (mathematician) (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...
    8 KB (626 words) - 09:02, 30 June 2025