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Additive Number Theory: Inverse Problems and the Geometry of Sumsets
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Additive Number Theory: Inverse Problems and the Geometry of SumsetsAdditive Number Theory: Inverse Problems and the Geometry of Sumsets

Many classical problems in additive number theory are direct problems, in which one starts with a set A of natural numbers and an integer H -> 2, and tries to describe the structure of the sumset hA consisting of all sums of h elements of A. By contrast, in an inverse problem, one starts with a sumset hA, and attempts to describe the structure of the underlying set A.
 
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Tags: inverse, problems, sumset, structure, there, Additive, describe