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Results tagged with modular-forms
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user 477704
Questions about modular forms and related areas
14
votes
1
answer
1k
views
A question on a paper of K. Murty
Let $f=\sum_{n\ge 1}a_nq^n$ be a normalized Hecke eigenform which is not of CM-type, of weight $k\ge 2$ for the congruence subgroup $\Gamma_0(N)$. Let $a\in\mathbb{Z}$ and define
$$
\pi_f(x,a):=\#\{p\ …
- 303
5
votes
2
answers
236
views
Irreducibility of the $n$th symetric power of the reduction of the Galois representation of ...
In "On $\ell$-adic representations attached to modular forms II", Ribet proved that the $\ell$-adic representation $\rho_{f,\ell}$ attached to a non-CM newform form $f$ satisfies
$${\rm SL}_2(\mathbb …
- 303