Timeline for Asymptotics on sum of n/rad(n) [duplicate]
Current License: CC BY-SA 4.0
18 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| S Aug 26, 2023 at 14:15 | vote | accept | TheBestMagician | ||
| Aug 26, 2023 at 14:15 | vote | accept | TheBestMagician | ||
| S Aug 26, 2023 at 14:15 | |||||
| Aug 26, 2023 at 14:15 | history | closed |
Daniele Tampieri CommunityBot |
Duplicate of Dirichlet series of the reciprocal radical function | |
| Aug 26, 2023 at 10:57 | history | became hot network question | |||
| Aug 26, 2023 at 9:01 | comment | added | Jesse Elliott | OK, I added an answer explaining. | |
| Aug 26, 2023 at 9:00 | answer | added | Jesse Elliott | timeline score: 6 | |
| Aug 26, 2023 at 8:27 | comment | added | mathworker21 | @JesseElliott what's the answer? I don't see it. | |
| Aug 26, 2023 at 4:40 | history | edited | GH from MO |
edited tags
|
|
| Aug 26, 2023 at 4:40 | comment | added | GH from MO | Please use a high-level tag like "nt.number-theory". I added this tag now. Also, when you refer to an earlier result (like the MO post you mentioned), please give a precise reference (as customary in science). | |
| Aug 26, 2023 at 4:37 | answer | added | GH from MO | timeline score: 8 | |
| Aug 26, 2023 at 4:33 | comment | added | Jesse Elliott | The answer is at mathoverflow.net/questions/445395/…. It is not $O(x (\log x)^A)$ for any $A$, due to the precise (and surprising!) asymptotics stated there for your function. | |
| Aug 26, 2023 at 4:11 | review | Close votes | |||
| Aug 26, 2023 at 14:18 | |||||
| Aug 26, 2023 at 3:38 | comment | added | Mark Schultz-Wu | Can you link the results regarding $1/\mathsf{rad}(n)$ that you mentioned? | |
| Aug 26, 2023 at 3:28 | comment | added | TheBestMagician | It seems difficult to perform the integration, however. Perhaps there's a way to bound it nicely without computing it. | |
| Aug 26, 2023 at 3:19 | comment | added | TheBestMagician | @Mark I'll look into it. I'm not very familiar with these types of sums, its just something that happened to appear in my work. | |
| Aug 26, 2023 at 3:14 | comment | added | Mark Schultz-Wu | Can't you pair results on $\sum_{n\leq x}\frac{1}{\mathsf{rad}(n)}$ with Abel summation? | |
| S Aug 26, 2023 at 2:57 | review | First questions | |||
| Aug 26, 2023 at 4:48 | |||||
| S Aug 26, 2023 at 2:57 | history | asked | TheBestMagician | CC BY-SA 4.0 |