Timeline for Can one show that $|\zeta'(x) / \zeta^2(x)| \leq 1/(x-.5)$ for $x\in\mathbb{R}\cap [1,\infty)$?
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24 events
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| Nov 7 at 14:28 | comment | added | GH from MO | @Haidara I never said that I did or would work on your second question. I just suggested that you ask it in a separate post. The comment section is not for new questions. It is also not for personal communication like "can you prove this" or "did you find any partial result". The way this site works is this. You ask a question officially, and then wait for answers by those who are interested. | |
| Nov 7 at 11:48 | comment | added | Haidara | @GHfromMO Are you still working on my second question? Could you find any partial result? Can you Prove that the function in the LHS is decreasing when x>1. | |
| Nov 4 at 6:11 | comment | added | Gerry Myerson | More of the same: mathoverflow.net/questions/481724/… | |
| Nov 3 at 15:27 | comment | added | Haidara | @GHfromMO Ok sorry:) . | |
| Nov 3 at 13:52 | comment | added | mathworker21 | @AlekseiKulikov You're a funny guy. | |
| Nov 3 at 13:32 | comment | added | GH from MO | @Haidara I prefer to remain anonymous. | |
| Nov 3 at 13:08 | comment | added | Haidara | @GHfromMO Ok I have published my new question. | |
| Nov 3 at 12:55 | comment | added | Haidara | @GHfromMO How can I contact you outside MathOverflow? | |
| Nov 3 at 12:53 | comment | added | GH from MO | @Haidara Please ask your new question in a new post. | |
| Nov 3 at 12:50 | comment | added | Haidara | @GHfromMO Can you prove the inequality : $\left|\frac{2(\zeta'(x))^2-\zeta''(x)\zeta(x)}{\zeta^3(x)}\right|\leq \frac{2}{(x-\frac{1}{2})^2}$ for all real x>1. | |
| Nov 3 at 9:55 | vote | accept | Haidara | ||
| Nov 3 at 9:51 | comment | added | Haidara | Ok nice proof. Also I think it can be generalized to other inequalities I will try to do it myself. Thank you! | |
| Nov 3 at 9:48 | vote | accept | Haidara | ||
| Nov 3 at 9:54 | |||||
| Nov 3 at 9:32 | comment | added | GH from MO | @AlekseiKulikov That's right. Probably there are more elegant ways to verify the original inequality. For example, it would be helpful to know that $-\zeta'(x)/\zeta^2(x)$ is decreasing. | |
| Nov 3 at 8:53 | comment | added | Aleksei Kulikov | Just to be sure, in the intermediate regime you did not prove bounds like $-\frac{\zeta'(1.5)}{\zeta(1.5)} < 1.6$ by hand, but rather made an electronic computing machine, colloquially known as a computer, to tell you this number to enough decimal places? | |
| Nov 3 at 5:50 | history | edited | GH from MO | CC BY-SA 4.0 |
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| Nov 3 at 5:44 | history | undeleted | GH from MO | ||
| Nov 3 at 5:44 | history | edited | GH from MO | CC BY-SA 4.0 |
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| Nov 3 at 5:33 | history | deleted | GH from MO | via Vote | |
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| Nov 3 at 5:19 | history | answered | GH from MO | CC BY-SA 4.0 |