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Algebraic number fields, Algebraic integers, Arithmetic Geometry, Elliptic Curves, Function fields, Local fields, Arithmetic groups, Automorphic forms, zeta functions, $L$-functions, Quadratic forms, Quaternion algebras, Homogenous forms, Class groups, Units, Galois theory, Group cohomology, Étale cohomology, Motives, Class field theory, Iwasawa theory, Modular curves, Shimura varieties, Jacobian varieties, Moduli spaces

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The number of types of maximal orders in a definite quaternion algebra containing a certain ...

I'm referring On the imbeddings of imaginary quadratic orders in definite quaternion orders by Brzezinski and Eichler here. Let $B$ be a definite quaternion algebra over $\mathbb{Q}$. Given an order $ …