- journal article metadata
European Mathematical Society Publishing House
2016-09-19 17:05:44
Revista Matemática Iberoamericana
Rev. Mat. Iberoamericana
RMI
0213-2230
2235-0616
General
10.4171/RMI
http://www.ems-ph.org/doi/10.4171/RMI
subscribers
European Mathematical Society Publishing House
Zuerich, Switzerland
© European Mathematical Society (from 2012)
22
2006
1
On Hilbert modular forms modulo $p$: explicit ring structure
Shoyu
Nagaoka
Kinki University, OSAKA, JAPAN
Hilbert modular forms, modular forms mod $p$
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.
Number theory
General
357
368
10.4171/RMI/460
http://www.ems-ph.org/doi/10.4171/RMI/460