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On Hilbert modular forms modulo p: explicit ring structure.

Shoyu Nagaoka — 2006

Revista Matemática Iberoamericana

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.

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