Timeline for Why are there usually an even number of representations as a sum of 11 squares
Current License: CC BY-SA 2.5
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jun 20, 2010 at 14:42 | comment | added | Kevin O'Bryant | We referred to that (amongst ourselves) as the "golden lemma", and it carries quite a bit of the load. | |
| Jun 20, 2010 at 1:47 | comment | added | Greg Kuperberg | Well, the special case $d=-1$ is already there in Kevin's paper as lemma 2.1, and the proof is similar to my remark. I still think that it's an interesting point, but it might not be all that newsworthy. | |
| Jun 19, 2010 at 23:54 | comment | added | Greg Kuperberg | I'd have to learn more about Lubin-Tate theory, but I was going to mention this generalization: If $a$ is a unipotent element of any complete local ring $R$ whose residue field is algebraic over $\mathbb{Z}/p$, then exponentiation $a^d$ extends continuously to $p$-adic values of $d$. So, among many other examples, $R$ could be formal power series or the $p$-adic integers. | |
| Jun 19, 2010 at 23:43 | comment | added | S. Carnahan♦ | This sort of exponentiation arises in Lubin-Tate theory. Here, it seems to be applied to a theta function. | |
| Jun 19, 2010 at 22:27 | history | answered | Greg Kuperberg | CC BY-SA 2.5 |