A result on the size of iterated sumsets in ℤ^d

2021/09/09 by Vrećica, Ilija
#05A15 #11H06 #11P21 #52B20 #Combinatorics (math.CO) #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2109.04377

Abstract

In this paper we give a different approach to determining the cardinality of h-fold sumsets hA when A⊂ ℤ^d has d+2 elements. This enables us to provide more general result with a shorter and simpler proof. We also obtain an upper bound for the value of |hA| when A⊂ ℤ^d is a set of d+3 elements with simplicial hull.

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