Timeline for On the behaviour of $\sin(n!\pi x)$ when $x$ is irrational.
Current License: CC BY-SA 2.5
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Aug 3, 2010 at 23:26 | comment | added | Yemon Choi | @sigfpe That wasn't a Hungarian-drafted problem sheet was it? | |
| Aug 3, 2010 at 21:47 | comment | added | Dan Piponi | Homework question. Seriously! When I was an undergraduate at Cambridge this was on one of the first problem sheets in the first analysis course. I can't help but think it was intended to scare people away. It generated much discussion and I think the consensus was that there are no nice answers to this question. | |
| Aug 3, 2010 at 20:24 | answer | added | Ashutosh | timeline score: 6 | |
| Aug 3, 2010 at 13:19 | comment | added | Pietro Majer | However, I guess it should not be difficult to buid an x for which 1) holds. This immediately produces a dense set $x+\mathbb{Q}$; and in fact I imagine that one can also prove that 1) holds generically. | |
| Aug 3, 2010 at 12:42 | comment | added | Pietro Majer | The case $x=e$ is a popular riddle. A variation is $n\sin(2\pi en!)\to2\pi$ (whence $e\notin\mathbb{Q}$). Apart from these elementary cases, it sounds like a question immediately going into wild open problems... | |
| Aug 3, 2010 at 12:30 | answer | added | Petya | timeline score: 14 | |
| Aug 3, 2010 at 12:20 | history | asked | Analyst44 | CC BY-SA 2.5 |