Namespaces
Variants
Actions

Fermat equation

From Encyclopedia of Mathematics
Jump to: navigation, search
The printable version is no longer supported and may have rendering errors. Please update your browser bookmarks and please use the default browser print function instead.

2020 Mathematics Subject Classification: Primary: 11D41 [MSN][ZBL]

The Diophantine equation $x^n+y^n=z^n$, $n\in \mathbb N$, $x,y\in \mathbb Z$, of which it was fairly recently proved (in 1995) that there are no non-trivial solutions if $n\geq3$ (see, e.g., [a1]).

See Fermat great theorem for an account of affairs before A. Wiles' recent proof [a3].

See Fermat last theorem and [a1] for a sketch of the basic ideas and techniques behind the proof. See also [a1] for related matters such as the generalized Fermat conjecture and the Fermat equation over function fields; see also [a2].

References

[a1] A.J. van der Poorten, "Notes on Fermat's last theorem" , Wiley (1996)
[a2] L. Denis, "Le théorème de Fermat–Goss" Trans. Amer. Math. Soc. , 343 (1994) pp. 713–726
[a3] A. Wiles, "Modular elliptic curves and Fermat's last theorem" Ann. of Math. , 141 (1995) pp. 443–551
How to Cite This Entry:
Fermat equation. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Fermat_equation&oldid=35549
This article was adapted from an original article by M. Hazewinkel (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article