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math.NT2022
Optimal spinor selectivity for quaternion orders
Jiangwei Xue, Chia-Fu Yu
Let be a quaternion algebra over a number field , and be an arbitrary genus of -orders of full rank in . Let be a quadratic field extension of …
math.NT2022
On -roots of the Hilbert class polynomial modulo
Mingjie Chen, Jiangwei Xue
The Hilbert class polynomial attached to an order in an imaginary quadratic field is the monic polynomial whose roots are pr…