JournalsrmiVol. 22, No. 1pp. 357–368

On Hilbert modular forms modulo pp: explicit ring structure

  • Shoyu Nagaoka

    Kinki University, Osaka, Japan
On Hilbert modular forms modulo $p$: explicit ring structure cover
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Abstract

H.P.F. Swinnerton-Dyer determined the structure of the ring of modular forms modulo pp in the elliptic modular case. In this paper, the structure of the ring of Hilbert modular forms modulo pp is studied. In the case where the discriminant of corresponding quadratic field is 8 (or 5), the explicit structure is determined.

Cite this article

Shoyu Nagaoka, On Hilbert modular forms modulo pp: explicit ring structure. Rev. Mat. Iberoam. 22 (2006), no. 1, pp. 357–368

DOI 10.4171/RMI/460