Timeline for answer to Has Fermat's Last Theorem per se been used? by Chandan Singh Dalawat
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| when toggle format | what | by | license | comment | |
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| Aug 27, 2013 at 12:58 | comment | added | Chandan Singh Dalawat | It is mentioned in the link in my first comment. | |
| Aug 27, 2013 at 12:56 | comment | added | Colin McLarty | Thanks. This led me to a cleaner more general paper by Hellegouarch, Points d’ordre 2p sur les courbes elliptiques. Acta Arith. 26 (1974/75), no. 3, 253–263. MR0379507 (52 #412). | |
| Aug 27, 2013 at 12:20 | comment | added | Chandan Singh Dalawat | In what follows $A$ is an elliptic curve defined over the field of fractions $K$ of a Dedekind ring $R$, and all the points of order $2$ on $A$ are defined over $K$. A rational prime $p$ is said to be "idoine'' if $(−2)^m\equiv−1\mod p$ for some integer $m$. When $R=\mathbf{Z}$, the rational integers, it is shown that there is no point of order $p^2$ defined over $K$, where $p$ is an idoine prime, provided that Fermat's equation $x^p+y^p=z^p$ is insoluble. (ams.org/mathscinet-getitem?mr=274451) | |
| Aug 27, 2013 at 11:59 | comment | added | Colin McLarty | I Have been reading Hellegouarch but he says much less about the Fermat equations than I expected. He cites and uses many results on elliptic curves but can you point me to some place where he uses a then known case of FLT? Thanks. | |
| Aug 27, 2013 at 10:23 | comment | added | Chandan Singh Dalawat | See for example math.unicaen.fr/~nitaj/hellegouarch.html. | |
| Aug 27, 2013 at 10:14 | history | answered | Chandan Singh Dalawat | CC BY-SA 3.0 |