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arXiv · 0711.1610

Sums of dilates

Boris Bukh
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Abstract

The lambda-dilate of a set A is lambda*A={lambda a : a \in A}. We give an asymptotically sharp lower bound on the size of sumsets of the form lambda_1*A+...+lambda_k*A for arbitrary integers lambda_1,...,lambda_k and integer sets A. We also establish an upper bound for such sums, which is similar to, but often stronger than Plunnecke's inequality.

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Boris Bukh. 2008-04-03. Sums of dilates. https://arxiv.org/abs/0711.1610

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