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Plünnecke’s Inequality for Different Summands

Plünnecke’s Inequality for Different Summands

The aim of this paper is to prove a general version of Plünnecke's inequality. Namely, assume that for finite sets A, B 1 ,…,B k we have information on the size of the sumsets A+Bi 1+…+Bi l for all choices of indices i 1,…,i l . Then we prove the …