Timeline for Question on an arithmetic function with the sieve of Eratosthenes
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Feb 2, 2019 at 9:52 | vote | accept | B . O | ||
| Apr 15, 2014 at 21:11 | comment | added | B . O | Probably, the value changed very rapidly by $\omega(n)$ and $\omega(n)−1$ as $a$ grows up. And it seems to need some sharp techniques for deciding between them for given certain $k$, because the estimation be smaller while the weight(changeable values) bigger. I will have a try with your advise, Thanks! | |
| Apr 15, 2014 at 20:17 | comment | added | Greg Martin | It changes it, yes, but probably in a way that can be handled. After all, $\omega_{\sqrt x}(n)$ is either $\omega(n)$ or $\omega(n)-1$ in a predictable way. | |
| Apr 15, 2014 at 19:44 | comment | added | B . O | Thanks for your answer, but I've obtained that representation and that's the reason of why I called it 'weight'. I think that the $k$ of $\omega_k$ changes the estimation of the arithmetic summation. | |
| Apr 15, 2014 at 19:11 | history | answered | Greg Martin | CC BY-SA 3.0 |