On Hilbert modular forms modulo $p$: explicit ring structure
Nagaoka , Shoyu
Rev. Mat. Iberoamericana, Tome 22 (2006) no. 2, p. 357-368 / Harvested from Project Euclid
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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.
Publié le : 2006-05-15
Classification:  Hilbert modular forms,  modular forms mod $p$,  11F41 
@article{1148492187,
     author = {Nagaoka ,  Shoyu},
     title = {On Hilbert modular forms modulo $p$: explicit ring
 structure},
     journal = {Rev. Mat. Iberoamericana},
     volume = {22},
     number = {2},
     year = {2006},
     pages = { 357-368},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1148492187}
}

Nagaoka ,  Shoyu. On Hilbert modular forms modulo $p$: explicit ring
 structure. Rev. Mat. Iberoamericana, Tome 22 (2006) no. 2, pp.  357-368. http://gdmltest.u-ga.fr/item/1148492187/