Sums of Finite Sets

Imre Z. Ruzsa
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Imre Z. Ruzsa: Rutgers University, DIMACS, Hill Center

Chapter 21 in Number Theory: New York Seminar 1991–1995, 1996, pp 281-293 from Springer

Abstract: Abstract We investigate numerous cardinality questions concerning sums of finite sets. A typical problem looks like the following: if A has n elements, A + B has cn, what can we deduce about A and B? How can we estimate the cardinalities of other sets like A − B and A + B + A? This is in quest of a generalization of Freiman’s famous theorem that describes the structure of those sets A for which A + A is small, to the case of different summands.

Keywords: Direct Product; Arithmetical Progression; Distinct Vertex; Torsion Free Group; Obvious Inequality (search for similar items in EconPapers)
Date: 1996
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4612-2418-1_21

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DOI: 10.1007/978-1-4612-2418-1_21

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