Timeline for Is factorial the restriction of some elementary function?
Current License: CC BY-SA 4.0
8 events
| when toggle format | what | by | license | comment | |
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| Feb 21, 2022 at 22:23 | comment | added | KConrad | @1830rbc03 I know nothing about such things, but they seem like totally hopeless problems at present. | |
| Feb 21, 2022 at 19:18 | comment | added | 183orbco3 | @KConrad Of course I expect the answers to both to be "no". Is (1) open too? When I wrote the question I thought (2) must be easier than (1) but that may not be the case. Does (1) somehow follow from the non-elementarity of Gamma function? | |
| Feb 21, 2022 at 19:06 | comment | added | KConrad | @1830rbc03 no it's all hopeless at present. Do you agree the answer to (1) is far more likely to be "no" rather than "yes"? | |
| Feb 21, 2022 at 18:56 | comment | added | 183orbco3 | @KConrad I know. That's why I asked about integer not rational. Does that seem any easier? | |
| Feb 21, 2022 at 7:42 | comment | added | Robert Israel | Presumably, $n=0$ doesn't count. | |
| Feb 21, 2022 at 7:06 | comment | added | KConrad | If the answer to (2) were “yes” then $\pi$ and $e$ would be algebraically dependent, which nobody believes to be the case. The algebraic independence is unproved but would follow from Schanuel’s conjecture. | |
| S Feb 21, 2022 at 5:13 | review | First questions | |||
| Feb 21, 2022 at 6:22 | |||||
| S Feb 21, 2022 at 5:13 | history | asked | 183orbco3 | CC BY-SA 4.0 |