Timeline for Some statistics related to the abc conjecture
Current License: CC BY-SA 4.0
9 events
when toggle format | what | by | license | comment | |
---|---|---|---|---|---|
Apr 26, 2020 at 6:05 | comment | added | joro | @WillSawin May I have your opinion about abc and surjective polynomials: mathoverflow.net/questions/332189/… | |
Apr 25, 2020 at 16:03 | comment | added | Wolfgang | @SylvainJULIEN also note that the threshold of 1.4 used here is completely arbitrary... | |
Apr 25, 2020 at 15:42 | history | edited | joro | CC BY-SA 4.0 |
Minor fix
|
Apr 25, 2020 at 14:42 | comment | added | Will Sawin | If one assumes $\operatorname{rad}(a), \operatorname{rad}(b), \operatorname{rad}(a+b)$ behave as independent random variables, the key quantity is understanding the number of $n \approx N$ with $\operatorname{rad}(n) \approx n^\alpha$. Surely this must be known/studied. I think the highest-order terms in the asymptotic are $n^\alpha e^{ \sqrt{\log n}}$ but I don't know what the next ones are. | |
Apr 25, 2020 at 14:07 | comment | added | joro | @WillSawin Yes. Or in other words quality >1. | |
Apr 25, 2020 at 14:00 | comment | added | Will Sawin | "good" = $\operatorname{rad}(abc)<c$? | |
Apr 25, 2020 at 13:08 | comment | added | joro | @SylvainJULIEN I strongly doubt this holds in general, we are examining very small set. | |
Apr 25, 2020 at 12:53 | comment | added | Sylvain JULIEN | 58% is not far from $\gamma$. | |
Apr 25, 2020 at 12:23 | history | asked | joro | CC BY-SA 4.0 |