Timeline for Existence of Hecke operators with distinct eigenvalues?
Current License: CC BY-SA 3.0
4 events
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Jul 22, 2015 at 13:47 | comment | added | Kimball | Just thinking about the weight 1 case, is it true that for a finite group $G$ there is a conjugacy class that distinguishes quadratic-twist classes of characters? If not, it's not obvious to me how to use Chebotarev. | |
Jul 4, 2015 at 4:44 | comment | added | FriendlyWendy | Without thinking too carefully, it probably follows from Chebotarev that the density of places where Hecke eigenvalues coincide is zero for twist inequivalent forms, so that case should be OK. | |
Jul 4, 2015 at 4:33 | comment | added | Kimball | Ah, right. I was originally thinking about "minimal" modular forms (say prime level). Do you know anything about this case. | |
Jul 4, 2015 at 2:54 | history | answered | FriendlyWendy | CC BY-SA 3.0 |