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Sumset

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Let h>=2 and let A_1, A_2, ..., A_h be sets of integers. The sumset A_1+A_2+...+A_h is the set of all integers of the form a_1+a_2+...+a_h, where a_i is a member of A_i for i=1, 2, ..., h.

See also

Sum-Free Set

This entry contributed by Tony Noe

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References

Nathanson, M. B. Additive Number Theory: Inverse Problems and the Geometry of Sumsets. New York: Springer-Verlag, p. 1, 1996.

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Sumset

Cite this as:

Noe, Tony. "Sumset." From MathWorld--A Wolfram Resource, created by Eric W. Weisstein. https://mathworld.wolfram.com/Sumset.html

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