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On a Discrete Version of Alexandrov's Projection Theorem

作者:Huan; XIONG投影定理离散形式历山版本点对称绝对值晶格计数

摘要:In this paper, we consider a discrete version of Aleksandrov’s projection theorem. We prove that an origin-symmetric convex lattice set, whose lattice’s y-coordinates’ absolute values are not bigger than 2, can be uniquely determined by its lattice projection counts if its cardinality is not 11. This partly answers a question on the discrete version of Aleksandrov’s projection theorem which was proposed by Gardner, Gronchi and Zong in 2005.

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数学学报

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