Timeline for On the image of the residual representation attached to a CM form
Current License: CC BY-SA 3.0
6 events
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Feb 17, 2012 at 23:51 | comment | added | Kevin Ventullo | I learned this from pages 4-5 of an article of Ribet: math.berkeley.edu/~ribet/Articles/rankin.pdf. His method seems somewhat qualitative, but the remark at the top of page 6 suggests that one might be able to get more precise control on these primes, at least when $p>k+1$ and does not divide the level. | |
Feb 17, 2012 at 14:06 | comment | added | unramified | Thanks all. Hi Kevin, does this finite set of primes consist of those that divide the level of the form? If not, what do we know about this set? | |
Feb 17, 2012 at 14:03 | vote | accept | unramified | ||
Feb 16, 2012 at 21:02 | comment | added | Kevin Ventullo | @Dror: No. If f does not have CM, there are only finitely many p for which the residual representation is small in the above sense. | |
Feb 16, 2012 at 18:13 | comment | added | Dror Speiser | Ah, but in a positive density of such p's? | |
Feb 16, 2012 at 14:07 | history | answered | David Loeffler | CC BY-SA 3.0 |