Timeline for Real number happens to be an integer
Current License: CC BY-SA 2.5
12 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jul 12, 2010 at 14:39 | comment | added | Franz Lemmermeyer | Real number happy to be an integer - I need more coffee! | |
| Jul 12, 2010 at 13:45 | answer | added | Timothy Chow | timeline score: 3 | |
| Jul 12, 2010 at 13:14 | answer | added | Wadim Zudilin | timeline score: 2 | |
| Jul 12, 2010 at 12:19 | answer | added | Roland Bacher | timeline score: 3 | |
| Jul 12, 2010 at 12:16 | answer | added | Sidney Raffer | timeline score: 4 | |
| Jul 12, 2010 at 12:04 | comment | added | Wadim Zudilin | Hm, Martin, you don't like proofs by contradiction. In that case your question is somehow contradictory! :-) The only family of examples that seems to be useful is related to a PV number, say $v$: the sum of the $N$th powers of all conjugates of $v$ is an integer which is the nearest to $v^N$. This trick (a la Lobachevsky) is indeed useful in several results on PV numbers (as far as I remember in Cassels' book on diophantine approximations). You can also do a similar thing for the reciprocal of $j((1+\sqrt{-163})/2)$... | |
| Jul 12, 2010 at 11:21 | comment | added | Martin Brandenburg | Ok, I've made it CW. | |
| Jul 12, 2010 at 11:18 | history | made wiki | Post Made Community Wiki by Martin Brandenburg | ||
| Jul 12, 2010 at 11:07 | answer | added | Douglas S. Stones | timeline score: 3 | |
| Jul 12, 2010 at 11:06 | comment | added | Wadim Zudilin | Any irrationality/transcendence proof use this trick (sometimes implicitly). You may get too many examples of this type. In any case, I can't understand why don't you make your question community wiki. | |
| Jul 12, 2010 at 10:58 | answer | added | lhf | timeline score: 2 | |
| Jul 12, 2010 at 9:19 | history | asked | Martin Brandenburg | CC BY-SA 2.5 |