Let 
and let 
, 
,
..., 
be sets of integers. The sumset 
is the set of all integers
of the form 
,
where 
is a member of 
for 
,
2, ..., 
.
Sumset
See also
Sum-Free SetThis 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.Referenced on Wolfram|Alpha
SumsetCite this as:
Noe, Tony. "Sumset." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein. https://mathworld.wolfram.com/Sumset.html