Timeline for The Diophantine equation $x^p - 4y^p = z^2$
Current License: CC BY-SA 3.0
8 events
when toggle format | what | by | license | comment | |
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Aug 20, 2014 at 7:29 | comment | added | Yes | Thanks so much. I wish I can vote you up more than once. | |
Aug 20, 2014 at 3:55 | comment | added | GH from MO | And also by Siksek, see J. Théor. Nombres Bordeaux 15 (2003), 839–846. | |
Aug 20, 2014 at 3:54 | history | edited | Lucia | CC BY-SA 3.0 |
added 354 characters in body
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Aug 20, 2014 at 3:52 | comment | added | GH from MO | And very similar result were proved by Ivorra, see Acta Arith. 108 (2003), 327–338. | |
Aug 20, 2014 at 3:51 | comment | added | Lucia | @GHfromMO: Thanks for pointing that out! I'll also add a link to Darmon's paper. | |
Aug 20, 2014 at 3:48 | vote | accept | Yes | ||
Aug 20, 2014 at 3:48 | comment | added | GH from MO | Actually Darmon already proved in 1993 that, assuming the Shimura-Taniyama conjecture, there are no nonzero solutions for $p\geq 17$ and for $p=11$. See Proposition 2.5 in his paper (Internat. Math. Res. Notices 1993, 263–274). | |
Aug 20, 2014 at 3:40 | history | answered | Lucia | CC BY-SA 3.0 |