Timeline for Would the following conjectures imply Cramer's conjecture?
Current License: CC BY-SA 3.0
14 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Apr 13, 2017 at 12:58 | history | edited | CommunityBot |
replaced http://mathoverflow.net/ with https://mathoverflow.net/
|
|
| S Jul 3, 2013 at 20:07 | history | bounty ended | CommunityBot | ||
| S Jul 3, 2013 at 20:07 | history | notice removed | CommunityBot | ||
| Jun 26, 2013 at 18:41 | comment | added | Sylvain JULIEN | If I'm not mistaken, Symmetric Density Conjecture would follow from Hardy-Littlewood k-Tuple conjecture as stated in mathworld.wolfram.com/k-TupleConjecture.html and the fact that $w(q,m_1,...,m_k)=w(q,-m_1,....,-m_k)$. This must be established rigorously though. | |
| S Jun 25, 2013 at 19:00 | history | bounty started | Sylvain JULIEN | ||
| S Jun 25, 2013 at 19:00 | history | notice added | Sylvain JULIEN | Draw attention | |
| Jun 25, 2013 at 18:56 | history | edited | Sylvain JULIEN | CC BY-SA 3.0 |
added 312 characters in body
|
| Jun 21, 2013 at 21:28 | comment | added | Sylvain JULIEN | And then one would have, thanks to Prime Number Theorem, $\sigma_{m}=1$. Hence Symmetric density conjecture alone implies $\sigma_{+}=2$. | |
| Jun 21, 2013 at 20:52 | comment | added | Sylvain JULIEN | Read $\displaystyle{\lim_{\varepsilon\to 0}\lim_{x\to\infty}\delta_{\varepsilon,x}(\sigma)}$ in the previous comment. | |
| Jun 21, 2013 at 20:49 | comment | added | Sylvain JULIEN | Let $\displaystyle{\delta(\sigma):=\lim_{\varepsilon\to 0}\lim_{x\to\infty}\delta_{\varepsilon,x}}$. Then Symmetric Density conjecture implies $\sigma_{m}:=\int_{\sigma_{-}}^{\sigma_{+}}\sigma\delta(\sigma)d\sigma$. | |
| Jun 19, 2013 at 21:18 | comment | added | Sylvain JULIEN | @Charles : Indeed. | |
| Jun 19, 2013 at 19:05 | comment | added | Charles | You don't need the twin prime conjecture to get $\sigma_-=0$; Zhang's proof of the Bounded Gap Conjecture suffices. | |
| Jun 19, 2013 at 0:49 | comment | added | Gerry Myerson | See also previous questions about "primality radius", mathoverflow.net/questions/90120/… and mathoverflow.net/questions/130333/… and mathoverflow.net/questions/132973/… and mathoverflow.net/questions/61842/about-goldbachs-conjecture | |
| Jun 18, 2013 at 17:47 | history | asked | Sylvain JULIEN | CC BY-SA 3.0 |