Timeline for Lower bound for Euler's totient for almost all integers
Current License: CC BY-SA 3.0
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Aug 22, 2013 at 22:10 | answer | added | so-called friend Don | timeline score: 3 | |
| Aug 22, 2013 at 19:59 | comment | added | user21706 | I got. The average value of $n / \varphi(n)$ is $315\zeta(3)/(2\pi^4)$. "R. Sitaramachandrarao. On an error term of Landau II, Rocky Mountain J. Math. 15 (1985), 579-588" | |
| Aug 22, 2013 at 19:21 | comment | added | user21706 | @Lucia Thank you for your answer! However I can't find a reference for the average value of $n / \varphi(n)$, I know that average value of $\varphi(n) / n$ is $6 / \pi^2$, but $n / \varphi(n)$ I don't know. | |
| Aug 22, 2013 at 17:08 | comment | added | Lucia | Since the average value of $n/\phi(n)$ is bounded, it follows that for any function $f(n)$ tending to zero as $n$ tends to infinity one has $\phi(n)/n \ge f(n)$ except on a set of zero density. | |
| Aug 22, 2013 at 16:28 | answer | added | The Masked Avenger | timeline score: 0 | |
| Aug 22, 2013 at 14:21 | comment | added | joro | For $n/\phi(n)$ "Small values of the Euler function and the Riemann hypothesis Jean-Louis Nicolas" might be related to your question. | |
| Aug 22, 2013 at 12:43 | history | asked | user21706 | CC BY-SA 3.0 |