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  • On sums of dilates 

    Javier, Cilleruelo; Hamidoune, Yahya ould; Serra Albó, Oriol (2009-10-05)
    Article
    Open Access
    For k prime and A a finite set of integers with |A| ≥ $3(k-1)^2$ (k-1)! we prove that |A+k·A| ≥ (k+1)|A| − ⌈k(k+2)/4⌉ where k·A = {ka:a∈A}. We also describe the sets for which equality holds.