Timeline for Self-intersections of trigonometric polynomials
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Oct 5, 2011 at 7:11 | comment | added | Igor Rivin | @Brian: I will ponder... | |
| Oct 5, 2011 at 0:56 | comment | added | Brian Lins | @Igor, I know that $p(t)$ could be replaced by a rational function on the unit circle, but I don't know what that would do. There is a paper by Quine that gives a bound on the number of self-intersections for polynomials on the unit circle, but I am unaware of any similar result for rational functions. | |
| Oct 4, 2011 at 19:19 | comment | added | Matt Young | Oops, misread the question since the coefficients are complex. Never mind. | |
| Oct 4, 2011 at 19:15 | comment | added | Matt Young | Hi Brian! What does it mean that $a_2$ and $b_2$ are not real multiples of the same number? For instance, $a_2/b_2$ is a real number unless $b_2 = 0$. | |
| Oct 4, 2011 at 19:13 | comment | added | Igor Rivin | Yes, use $\tan t/2$ to reduce to a rational function. | |
| Oct 4, 2011 at 19:03 | history | asked | Brian Lins | CC BY-SA 3.0 |