# On Hilbert modular forms modulo p: explicit ring structure.

Revista Matemática Iberoamericana (2006)

- Volume: 22, Issue: 1, page 357-368
- ISSN: 0213-2230

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topNagaoka, 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 -

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