Counting (k,l)-sumsets in groups of prime order

Abstract

A subset A of a group G is called (k, l)- sumset, if A= kB-lB for some B⊂eq G, where kB-lB=x1+...+xk-xk+1-...-xk+l : x1,..., xk+l∈ B. Upper and lower bounds for the number (k, l)-sumsets in groups of prime order are provided.

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