Timeline for Shortest interval over which there are more quadratic residues than nonresidues
Current License: CC BY-SA 3.0
9 events
| when toggle format | what | by | license | comment | |
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| Oct 20, 2012 at 11:01 | comment | added | Timothy Foo | Thanks so much for your comment. I actually saw your question but couldn't say anything noteworthy about it off the top of my head. What wonderful implications what you wrote has. I hope that there will be more interesting facts that will emerge, whether on MO or not, in regards to this topic. Thanks again. | |
| Oct 14, 2012 at 20:25 | comment | added | js21 | A bit late, but I asked recently mathoverflow.net/questions/106359/… for an evaluation of the sum of $\left( \frac{.}{p} \right)$ over intervals $aq <n <bq$. What I wrote in my question implies that the answer to your question for $\beta= \frac{1}{6}$ depends only on $p \mod 24$. | |
| Oct 28, 2011 at 7:46 | comment | added | Yemon Choi | Fixed your LaTeX - the trick is to put backtick marks around your displayed maths | |
| Oct 28, 2011 at 7:45 | history | edited | Yemon Choi | CC BY-SA 3.0 |
fixed the LaTeX and tweaked teh link
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| Oct 28, 2011 at 6:53 | comment | added | Timothy Foo | The second one: $$L\left(\left(\frac{\cdot}{q}\right),1\right) = \frac{\pi}{q^{1/2}\left(r-\left(\frac{r}{q}\right)\right)}\sum_{0<m<q/2}\left(\frac{m}{q}\right)\left(r-1-2\left\lfloor\frac{mr}{q}\right\rfloor\right)$$ and the third one: $$ L\left(\left(\frac{\cdot}{q}\right),1\right) = \frac{2\pi}{q^{1/2}\left(3-\left(\frac{3}{q}\right)\right)}\sum_{0<m<q/3}\left(\frac{m}{q}\right)$$ | |
| Oct 28, 2011 at 6:52 | comment | added | Timothy Foo | I can't seem to make the first three equations display properly. Here is the first one: $$L\left(\left(\frac{\cdot}{q}\right),1\right) = \frac{\pi}{q^{1/2}\left(2-\left(\frac{2}{q}\right)\right)}\sum_{0<m<q/2}\left(\frac{m}{q}\right)$$ | |
| Oct 28, 2011 at 6:45 | history | edited | Timothy Foo | CC BY-SA 3.0 |
deleted 1 characters in body; deleted 2 characters in body; deleted 17 characters in body
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| Oct 28, 2011 at 6:39 | history | edited | Timothy Foo | CC BY-SA 3.0 |
deleted 26 characters in body; added 8 characters in body; added 12 characters in body
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| Oct 28, 2011 at 6:33 | history | asked | Timothy Foo | CC BY-SA 3.0 |