Modularity theorem: Difference between revisions

Revision as of 17:11, 7 March 2023

Revision as of 08:32, 8 March 2023

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:<math>a^p + b^p = c^p</math>

has a solution with non-zero integers, hence a counter-example to FLT. Then as [[{{ill|Yves Hellegouarch]]|fr|Yves Hellegouarch|lt=Yves Hellegouarch}} was the first to notice,<ref>{{Cite journal | last1=Hellegouarch | first1=Yves | title=Points d'ordre 2p^h sur les courbes elliptiques | url=http://matwbn.icm.edu.pl/ksiazki/aa/aa26/aa2636.pdf| mr=0379507 | year=1974 | journal=Acta Arithmetica | issn=0065-1036 | volume=26 | issue=3 | pages=253–263| doi=10.4064/aa-26-3-253-263 | doi-access=free }}</ref> the elliptic curve

:<math>y^2 = x(x - a^p)(x + b^p)</math>