• 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 (5,820 words) - 02:42, 14 October 2024
  • 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 (11,486 words) - 13:37, 19 November 2024
  • 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) - 10:11, 21 November 2024
  • 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 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 (3,066 words) - 04:21, 19 November 2024
  • 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) - 03:32, 23 April 2024
  • semistable elliptic curves, which was enough to imply Fermat's Last Theorem. Later, a series of papers by Wiles's former students Brian Conrad, Fred Diamond and...
    19 KB (2,339 words) - 20:05, 3 October 2024
  • 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
  • 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...
    100 KB (9,886 words) - 12:28, 17 November 2024
  • 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 (4,394 words) - 21:19, 27 August 2024
  • 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 (8,404 words) - 02:08, 12 November 2024
  • 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 (837 words) - 14:25, 8 October 2023
  • Thumbnail for Gerhard Frey
    Gerhard Frey (category Academic staff of the University of Erlangen-Nuremberg)
    equation, that is central to Wiles's proof of Fermat's Last Theorem. He studied mathematics and physics at the University of Tübingen, graduating in 1967...
    8 KB (619 words) - 21:09, 11 September 2024
  • 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 (3,159 words) - 22:00, 13 November 2024
  • 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...
    22 KB (3,201 words) - 14:17, 23 September 2024
  • 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...
    5 KB (738 words) - 12:06, 24 September 2024
  • 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...
    12 KB (1,386 words) - 12:17, 8 August 2024
  • 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 (915 words) - 18:32, 7 October 2024
  • 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 (6,107 words) - 15:45, 11 November 2024
  • 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 (1,701 words) - 22:13, 2 September 2024
  • 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 (7,140 words) - 08:57, 7 November 2024
  • Eichler–Shimura congruence relation Hecke algebra Abstract algebra Wiles's proof of Fermat's Last Theorem Apostol, Tom M. (1990), Modular functions and Dirichlet...
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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...
    4 KB (732 words) - 11:42, 20 August 2021
  • 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'...
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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)...
    18 KB (1,974 words) - 18:08, 27 November 2023
  • continent. May – Wiles's proof of Fermat's Last Theorem is published in Annals of Mathematics. January 30 – Workers from the National Institutes of Health announce...
    12 KB (1,237 words) - 17:08, 16 June 2024
  • equation ax3 + by3 + cz3  = 0", Acta Mathematica, 85: 203–362, doi:10.1007/BF02395746, ISSN 0001-5962, MR 0041871 Wiles's proof of Fermat's Last Theorem...
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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...
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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...
    41 KB (5,655 words) - 15:25, 12 December 2023
  • 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...
    20 KB (2,637 words) - 15:33, 21 November 2024