S ep 2 01 8 An improved sum-product bound for quaternions

semanticscholar（2018）

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摘要

We show that there exists an absolute constant c > 0, such that, for any finite set A of quaternions, max{|A+ A, |AA|} & |A|. This generalizes a sum-product bound for real numbers proved by Konyagin and Shkredov.

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