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Sum of Many Dilates
Published online by Cambridge University Press: 08 September 2015
Abstract
We show that for any coprime integers λ1, . . ., λk and any finite A ⊂ $\mathbb{Z}$, one has
|\lambda_1 \cdot A + \cdots + \lambda_k \cdot A| \geq (|\lambda_1| + \cdots + |\lambda_k|)|A|- C,
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- Copyright © Cambridge University Press 2015
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