Timeline for Relative-totient function (2nd attempt)
Current License: CC BY-SA 3.0
8 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Sep 25, 2015 at 17:48 | comment | added | Brad Graham | That being said; of course you provided input and deserve credit for this, I hope you get up voted and are happy for me to leave it open. | |
| Sep 25, 2015 at 17:45 | comment | added | Brad Graham | Okay yeah, so I could accept your answer as you gave a counter example to the first claim, but I guess as you left the counter example in the comments, and with the subsequent edits; from those conditions, it may be of more interest to readers to leave this question open regarding the updated proposal. | |
| Sep 25, 2015 at 17:40 | comment | added | Felipe Voloch | It's a proof of a weaker statement from the one in a previous version of this question, in which one takes $x_{\sharp}$, in place of $x_{\flat}$. The version with $x_{\flat}$ is false due to the counterexample. I guess this resolves the earlier version. I haven't really looked at the current version, so I have nothing to say there. As far as accepting the answer, it's entirely up to you. | |
| Sep 25, 2015 at 17:26 | comment | added | Brad Graham | Unfortunately I can't accept this answer; it is supposedly a proof, yet you found a counter example, so it can't be a proof | |
| Sep 24, 2015 at 23:15 | comment | added | Felipe Voloch | @BradGraham About your questions in the comments, I don't know. You should check out Hardy and Wright. It has a lot of information. | |
| Sep 24, 2015 at 22:56 | comment | added | Brad Graham | And lastly, is there an interpretation of $\Lambda(x,y)$ in terms of $\phi(y)$? | |
| Sep 24, 2015 at 22:47 | comment | added | Brad Graham | Thanks a lot Felipe, can anything be said of the count of totatives of $x$ in some interval $I$ with length $y$, is it also known to be $y\phi(x)/x + O(x^{\epsilon})$? | |
| Sep 24, 2015 at 22:37 | history | answered | Felipe Voloch | CC BY-SA 3.0 |