Timeline for On the Chowla and twin prime conjectures
Current License: CC BY-SA 4.0
8 events
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| Jul 15, 2022 at 5:17 | comment | added | Krishnarjun | You can find some details here terrytao.wordpress.com/2011/11/21/… | |
| Jul 16, 2020 at 12:20 | comment | added | Peter Humphries | The variant is replacing $\lambda(n)$ with $\Lambda(n)$, where $\Lambda(n)$ denotes the von Mangoldt function, and extracting a main term. | |
| Jul 16, 2020 at 11:16 | history | edited | Q_p | CC BY-SA 4.0 |
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| Jul 16, 2020 at 7:42 | comment | added | Q_p | @MarkLewko, okay, thanks. So, do you have any reference/proof that ''a sufficiently strong quantitative verson of the claim entails the twin prime conj'' ? Also, how strong should be the quantitative version ? | |
| Jul 16, 2020 at 7:37 | history | edited | Q_p | CC BY-SA 4.0 |
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| Jul 16, 2020 at 7:37 | comment | added | Mark Lewko | This is not known to be true. Tao claims this is a "variant" of the twin prime conjecture on the blog post you reference. It's possible that if one had a sufficiently strong quantitative version of the claim one could deduce the twin prime conjecture, but this certainly isn't known from a $o(x)$ bound. | |
| Jul 16, 2020 at 7:21 | history | edited | Q_p | CC BY-SA 4.0 |
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| Jul 16, 2020 at 7:12 | history | asked | Q_p | CC BY-SA 4.0 |