We use the Jacquet-Langlands correspondence to generalize well-known congruence results of Mazur on Fourier coefficients and L-values of elliptic modular forms for prime level in weight 2 both to nonsquare level and to Hilbert modular forms.
机构:
Kyoto Univ, Dept Math, Kitashirakawa Oiwake Cho,Sakyo Ku, Kyoto 6068502, JapanKyoto Univ, Dept Math, Kitashirakawa Oiwake Cho,Sakyo Ku, Kyoto 6068502, Japan
Ichino, Atsushi
Prasanna, Kartik
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Univ Michigan, Dept Math, 2074 East Hall,530 Church St, Ann Arbor, MI 48109 USAKyoto Univ, Dept Math, Kitashirakawa Oiwake Cho,Sakyo Ku, Kyoto 6068502, Japan