Timeline for When do Fourier coefficients vanish in Hida families?
Current License: CC BY-SA 4.0
4 events
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| Nov 2, 2023 at 6:26 | comment | added | David Loeffler | Kimball's construction can certainly be used to force $a_{n} = 0$ for all $n$ divisible by $\ell$, where $\ell$ is some prime dividing the level. But if we restrict to vanishing of $a_n$'s for $n$ coprime to the level of the Hida family then I don't know, and I think the question is a very interesting one. | |
| Nov 1, 2023 at 23:57 | comment | added | Kimball | Can you not take $F$ to be supercuspidal at some prime dividing $n$? Or twist by a ramified character? (I don't know about Hida families.) | |
| Nov 1, 2023 at 21:54 | history | edited | Adithya Chakravarthy | CC BY-SA 4.0 |
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| Nov 1, 2023 at 21:41 | history | asked | Adithya Chakravarthy | CC BY-SA 4.0 |