Timeline for Bounding integrals involving $\operatorname{li}(x)-\pi(x)$
Current License: CC BY-SA 4.0
11 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Dec 1, 2021 at 12:18 | comment | added | Jesse Elliott | @DanielJohnston No, I don't, it was just something I deduced while writing a book on analytic number theory, which is almost completed now. | |
| Nov 30, 2021 at 10:06 | comment | added | Daniel Johnston | That first integral $\int_1^\infty(\pi(t)-\text{li}(t))dt/t^2=\gamma-M$ is really neat! Do you have a reference for that result? | |
| Sep 14, 2021 at 5:17 | history | edited | Jesse Elliott | CC BY-SA 4.0 |
added 215 characters in body
|
| Sep 14, 2021 at 5:12 | history | edited | Jesse Elliott | CC BY-SA 4.0 |
added 215 characters in body
|
| Sep 14, 2021 at 3:27 | history | edited | Alexey Ustinov |
edited tags
|
|
| Sep 14, 2021 at 3:25 | answer | added | Alexey Ustinov | timeline score: 2 | |
| Sep 14, 2021 at 2:37 | history | edited | Jesse Elliott | CC BY-SA 4.0 |
added 473 characters in body
|
| Sep 13, 2021 at 12:55 | history | edited | Jesse Elliott | CC BY-SA 4.0 |
edited to reflect a comment
|
| Sep 13, 2021 at 12:52 | comment | added | Jesse Elliott | I figured that. I'm looking for better bounds than that exploiting cancellation of some sort. I edited the question to account for that. | |
| Sep 13, 2021 at 12:43 | comment | added | Wojowu | You can get some easy estimates by using any version of PNT with an error term. I suspect thanks to cancellation better unconditional bounds should be possible though. | |
| Sep 13, 2021 at 12:31 | history | asked | Jesse Elliott | CC BY-SA 4.0 |