On Hilbert modular forms modulo p: explicit ring structure.

Nagaoka, Shoyu. "On Hilbert modular forms modulo p: explicit ring structure.." Revista Matemática Iberoamericana 22.1 (2006): 357-368. <http://eudml.org/doc/41977>.

@article{Nagaoka2006,
abstract = {H. P. F. Swinnerton-Dyer determined the structure of the ring of modular forms modulo p in the elliptic modular case. In this paper, the structure of the ring of Hilbert modular forms modulo p is studied. In the case where the discriminant of corresponding quadratic field is 8 (or 5), the explicit structure is determined.},
author = {Nagaoka, Shoyu},
journal = {Revista Matemática Iberoamericana},
keywords = {Funciones modulares de Hilbert; Anillos; ring of Hilbert modular forms mod p},
language = {eng},
number = {1},
pages = {357-368},
title = {On Hilbert modular forms modulo p: explicit ring structure.},
url = {http://eudml.org/doc/41977},
volume = {22},
year = {2006},
}

TY - JOUR
AU - Nagaoka, Shoyu
TI - On Hilbert modular forms modulo p: explicit ring structure.
JO - Revista Matemática Iberoamericana
PY - 2006
VL - 22
IS - 1
SP - 357
EP - 368
AB - H. P. F. Swinnerton-Dyer determined the structure of the ring of modular forms modulo p in the elliptic modular case. In this paper, the structure of the ring of Hilbert modular forms modulo p is studied. In the case where the discriminant of corresponding quadratic field is 8 (or 5), the explicit structure is determined.
LA - eng
KW - Funciones modulares de Hilbert; Anillos; ring of Hilbert modular forms mod p
UR - http://eudml.org/doc/41977
ER -