On the Néron model of jacobians of Shimura curves
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Bruce W. Jordan, Ron A. Livné (1986)
Compositio Mathematica
Rudolf Scharlau (1980)
Journal für die reine und angewandte Mathematik
Juliusz Brzezinski (1998)
Journal de théorie des nombres de Bordeaux
We compute the numbers of locally principal ideals with given norm in a class of definite quaternion orders and the traces of the Brandt-Eichler matrices corresponding to these orders. As an application, we compute the numbers of representations of algebraic integers by the norm forms of definite quaternion orders with class number one as well as we obtain class number relations for some CM-fields.
Yuji Hasegawa, Ki-ichiro Hashimoto (1995)
Manuscripta mathematica
H. Hijikata, A. Pizer, T. Shemanske (1989)
Journal für die reine und angewandte Mathematik
Jin Nakagawa (1996)
Journal für die reine und angewandte Mathematik
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