Timeline for Are there natural choices of $\sqrt{-1}$ in $\mathbb Z/p\mathbb Z$ for a prime $p\equiv 1\pmod 4$
Current License: CC BY-SA 2.5
10 events
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| Apr 13, 2017 at 12:58 | history | edited | CommunityBot |
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| Jun 22, 2010 at 2:43 | answer | added | Wadim Zudilin | timeline score: 4 | |
| Jun 21, 2010 at 21:19 | comment | added | GS | (I guess that makes it the "positive" square root? Vic Reiner told me that he likes to think of $\mathbb{Z}/p$ as being in some sense "real" when p is 3 mod 4). | |
| Jun 21, 2010 at 21:18 | comment | added | GS | In contrast, for p=3 mod 4, if a has a square root mod p then one is given by the formula $b=a^{(p+1)/4}$. | |
| Jun 21, 2010 at 17:12 | comment | added | David Carchedi | (I admit it's more like a reason to BELIEVE it's not canonical, rather than a proof). | |
| Jun 21, 2010 at 17:02 | comment | added | David Carchedi | I think I've managed to show that for odd primes $p$, that this choice is not canonical. See the last note in my answer (I just updated it). | |
| Jun 21, 2010 at 15:40 | answer | added | Charles Matthews | timeline score: 4 | |
| Jun 21, 2010 at 15:34 | answer | added | David Carchedi | timeline score: 2 | |
| Jun 21, 2010 at 15:24 | answer | added | Péter Komjáth | timeline score: 6 | |
| Jun 21, 2010 at 14:27 | history | asked | Roland Bacher | CC BY-SA 2.5 |