Timeline for Implausible inequality
Current License: CC BY-SA 3.0
19 events
| when toggle format | what | by | license | comment | |
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| Aug 20, 2017 at 4:55 | vote | accept | axk | ||
| Aug 19, 2017 at 23:14 | answer | added | Yaakov Baruch | timeline score: 1 | |
| Aug 17, 2017 at 5:45 | history | edited | axk | CC BY-SA 3.0 |
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| Aug 17, 2017 at 4:50 | history | edited | axk | CC BY-SA 3.0 |
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| Aug 16, 2017 at 16:49 | history | edited | axk | CC BY-SA 3.0 |
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| Aug 16, 2017 at 14:26 | comment | added | Yaakov Baruch | I would more simply write:$\quad \exists C,\epsilon >0$ constants... it holds that: LHS $\le C t^{-1-\epsilon}$ | |
| Aug 16, 2017 at 14:20 | history | edited | axk | CC BY-SA 3.0 |
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| Aug 16, 2017 at 14:10 | comment | added | axk | @Yaskov Baruch: Thanks for the observations. $a\ge 2b$ would be perfect if it works out. | |
| Aug 16, 2017 at 13:50 | history | edited | axk | CC BY-SA 3.0 |
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| Aug 16, 2017 at 13:23 | comment | added | Yaakov Baruch | My previous comment is wrong: since $t\ge dC$ if $d\rightarrow\infty$ then also $t\rightarrow\infty$ and the LHS does not go to $\infty$. | |
| Aug 16, 2017 at 7:19 | comment | added | Yaakov Baruch | Notice also that as $d\rightarrow\infty$ the LHS goes to $\infty$ too, so I think for the question to be interesting it must be that $a$ is larger than something that depends on $d$. | |
| Aug 16, 2017 at 6:59 | comment | added | Yaakov Baruch | Without assuming $b=2$, you need $a\ge 2b$ otherwise $t^b \left(\frac{t}{d}\right)^{d/2}\left(\frac{d+a}{t+a}\right)^{(d+a)/2}\rightarrow \infty$ and cannot be bound by any $C$. | |
| Aug 16, 2017 at 6:52 | comment | added | Fedor Petrov | hm, the limit of the quotient is 0 only if $b<a/2$, no? | |
| Aug 16, 2017 at 6:26 | comment | added | Yaakov Baruch | Why is $b\ge2$ needed? If the inequality holds for $b>2$ doesn't it all the more so for $b=2$? | |
| Aug 16, 2017 at 1:56 | history | edited | axk | CC BY-SA 3.0 |
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| Aug 16, 2017 at 1:50 | history | edited | axk | CC BY-SA 3.0 |
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| Aug 16, 2017 at 1:03 | history | edited | axk | CC BY-SA 3.0 |
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| Aug 16, 2017 at 0:58 | history | edited | axk | CC BY-SA 3.0 |
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| Aug 16, 2017 at 0:53 | history | asked | axk | CC BY-SA 3.0 |