Erschienen in:

1996 | OriginalPaper | Buchkapitel

Sums of Finite Sets

verfasst von : Imre Z. Ruzsa

Erschienen in: Number Theory: New York Seminar 1991–1995

Verlag: Springer US

Enthalten in: Professional Book Archive

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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.

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