Haigang Zhou

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math.NT2024

An explicit type number formula for quaternion orders of level $(N_{1}, N_{2})$

Yifan Luo, Haigang Zhou

We give an explicit type number formula for the quaternion orders of level $(N_{1}, N_{2})$ specified in this paper, where $N_{1} = p_{1}^{2 u_{1} + 1} \dots p_{w}^{2 u_{w} + 1}$ , the primes $p_{i}$ are di…

math.NT2024

The classification and representations of positive definite ternary quadratic forms of level 4N

Yifan Luo, Haigang Zhou

Classifications and representations are two main topics in the theory of quadratic forms. In this paper, we consider these topics of ternary quadratic forms. For a given squarefree…

An explicit type number formula for quaternion orders of level (N1​,N2​)

The classification and representations of positive definite ternary quadratic forms of level 4N

An explicit type number formula for quaternion orders of level $(N_{1}, N_{2})$