Timeline for Asymptotic series for roots of polynomials
Current License: CC BY-SA 2.5
9 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jun 22, 2010 at 14:25 | comment | added | Wadim Zudilin | Don Zagier has a very general method to compute asymptotic expansions; it fluctuates from one paper to another with different implementations depending on different needs. The easiest link is mpim-bonn.mpg.de/preprints/send?bid=3138 (appendix there). | |
| Feb 17, 2010 at 3:32 | answer | added | Jacques Carette | timeline score: 4 | |
| Feb 17, 2010 at 3:28 | comment | added | Qiaochu Yuan | The technique here is essentially the same as the technique used to prove Hensel's lemma, but I haven't quite figured out if it is directly applicable. | |
| Feb 17, 2010 at 2:57 | answer | added | Bjorn Poonen | timeline score: 8 | |
| Feb 17, 2010 at 2:24 | comment | added | Matt Young | Notice that you should be able to get that asymptotic expansion using Newton's method (with $(n/A)^{1/k}$ as your initial guess). Perhaps there are results that ensure that Newton's method works in your situation, but I don't know offhand... | |
| Feb 17, 2010 at 1:58 | answer | added | Harald Hanche-Olsen | timeline score: 3 | |
| Feb 17, 2010 at 1:49 | answer | added | Michael Greenblatt | timeline score: 1 | |
| Feb 17, 2010 at 1:38 | answer | added | fedja | timeline score: 1 | |
| Feb 17, 2010 at 1:22 | history | asked | Michael Lugo | CC BY-SA 2.5 |