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.
Citation
Shoyu Nagaoka . "On Hilbert modular forms modulo $p$: explicit ring structure." Rev. Mat. Iberoamericana 22 (1) 357 - 368, May, 2006.
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