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...

In number theory, Fermat's Last Theorem (sometimes called Fermat's conjecture, especially in older texts) states that no three positive integers a, b,...

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...

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...

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...

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...

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...

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...

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...

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...

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...

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...

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...

the theorem. But not everyone was "satisfied" with Wiles's proof because it used twentieth century mathematical techniques not available in Fermat's time...

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...

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...

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...

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...

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...

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...

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...

Eichler–Shimura congruence relation Hecke algebra Abstract algebra Wiles's proof of Fermat's Last Theorem Apostol, Tom M. (1990), Modular functions and Dirichlet...

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...

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'...

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)...

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...

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...

in Wiles's proof of Fermat's Last Theorem): Duality (mathematics), Eben Matlis; Dualizing module, Popescu's theorem, Artin approximation theorem. This...

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...

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...