Quaternions and Kudla's matching princple
classification
🧮 math.NT
keywords
algebrasassociatedquaternionaveragecorrespondencescurvesdefinitedegree
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In this paper, we prove some interesting identities, among average representation numbers (associated to definite quaternion algebras) and `degree' of Hecke correspondences on Shimura curves (associated to indefinite quaternion algebras).
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