Classical and overconvergent modular forms of higher level

@article{Coleman1997,
abstract = {We define the notion overconvergent modular forms on $\Gamma _1(Np^n)$ where $p$ is a prime, $N$ and $n$ are positive integers and $N$ is prime to $p$. We show that an overconvergent eigenform on $\Gamma _1(Np^n)$ of weight $k$ whose $U_p$-eigenvalue has valuation strictly less than $k - 1$ is classical.},
author = {Coleman, Robert F.},
journal = {Journal de théorie des nombres de Bordeaux},
keywords = {-adic overconvergent modular form},
language = {eng},
number = {2},
pages = {395-403},
publisher = {Université Bordeaux I},
title = {Classical and overconvergent modular forms of higher level},
url = {http://eudml.org/doc/248007},
volume = {9},
year = {1997},
}

TY - JOUR
AU - Coleman, Robert F.
TI - Classical and overconvergent modular forms of higher level
JO - Journal de théorie des nombres de Bordeaux
PY - 1997
PB - Université Bordeaux I
VL - 9
IS - 2
SP - 395
EP - 403
AB - We define the notion overconvergent modular forms on $\Gamma _1(Np^n)$ where $p$ is a prime, $N$ and $n$ are positive integers and $N$ is prime to $p$. We show that an overconvergent eigenform on $\Gamma _1(Np^n)$ of weight $k$ whose $U_p$-eigenvalue has valuation strictly less than $k - 1$ is classical.
LA - eng
KW - -adic overconvergent modular form
UR - http://eudml.org/doc/248007
ER -