On the Néron model of jacobians of Shimura curves
On the Pythagoras number of orders in totally real number fields.
On traces of the Brandt-Eichler matrices
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.
On type numbers of split orders of definite quaternion algebras.
Orders in quaternion algebras.
Orders of a quaternion algebra over a number field.