Timeline for Fourier coefficient of a modular form
Current License: CC BY-SA 2.5
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Nov 15, 2010 at 4:05 | vote | accept | schur | ||
| Oct 21, 2010 at 9:23 | comment | added | Idoneal | "This sounds tricky. Maybe Serre even conjectured once that this never happened if $p$ was sufficiently large. Let's say he did. Are you going to contradict Serre?" - I liked your style of persuasion. | |
| Oct 21, 2010 at 6:44 | comment | added | Kevin Buzzard | This is a nice answer. I think the bottom line is that the main thing it indicates is that the question needs to be made precise in an even stronger way. One needs to assume that $\alpha$ is a totally real algebraic integer such that every conjugate has absolute value strictly less than $2\sqrt{p}$. I don't think $\alpha=0$ is a problem because one can use forms of level $p^2$ to get this. I don't buy the Shimura curves argument because, even though one Shimura curve is unlikely to contain a point, we're allowed to change level so we have infinitely many to play with. | |
| Oct 21, 2010 at 6:11 | history | answered | user631 | CC BY-SA 2.5 |