On the characteristic power series of the U operator

Gouvêa, Fernando Q., and Mazur, Barry. "On the characteristic power series of the U operator." Annales de l'institut Fourier 43.2 (1993): 301-312. <http://eudml.org/doc/74996>.

@article{Gouvêa1993,
abstract = {We show that the coefficients of the characteristic power series of Atkin’s U operator acting on overconvergent $p$-adic modular forms of weight $k$ vary $p$-adically continuously as functions of $k$. Are they in fact Iwasawa functions of $k$ ?},
author = {Gouvêa, Fernando Q., Mazur, Barry},
journal = {Annales de l'institut Fourier},
keywords = {-adic modular forms; Atkin’s operator; characteristic power series; Iwasawa functions; congruence conditions},
language = {eng},
number = {2},
pages = {301-312},
publisher = {Association des Annales de l'Institut Fourier},
title = {On the characteristic power series of the U operator},
url = {http://eudml.org/doc/74996},
volume = {43},
year = {1993},
}

TY - JOUR
AU - Gouvêa, Fernando Q.
AU - Mazur, Barry
TI - On the characteristic power series of the U operator
JO - Annales de l'institut Fourier
PY - 1993
PB - Association des Annales de l'Institut Fourier
VL - 43
IS - 2
SP - 301
EP - 312
AB - We show that the coefficients of the characteristic power series of Atkin’s U operator acting on overconvergent $p$-adic modular forms of weight $k$ vary $p$-adically continuously as functions of $k$. Are they in fact Iwasawa functions of $k$ ?
LA - eng
KW - -adic modular forms; Atkin’s operator; characteristic power series; Iwasawa functions; congruence conditions
UR - http://eudml.org/doc/74996
ER -