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Questions about modular forms and related areas
17
votes
1
answer
2k
views
Representations attached to p-adic modular forms
A theorem of Gouvea and Hida (or rather a consequence of it) states that there exist a Galois representation attached to a $p$-adic eigenform $f$ provided the residual representation attached to a cla …
3
votes
1
answer
974
views
Gouvea-Mazur conjecture
I was reading about the conjecture made by Gouvea and Mazur in their paper "Families of modular eigenforms" which says that if $k_1 \equiv k_2 \pmod {p^{n}(p-1)}$ for some integer $n\geq \alpha$. then …