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单词 CauchyDavenportTheorem
释义

Cauchy-Davenport theorem


If A and B are non-empty subsets of p, then

|A+B|min(|A|+|B|-1,p),

where A+B denotes the sumset of A and B.

References

  • 1 Melvyn B. Nathanson. Additive Number Theory: Inverse Problems and Geometry ofSumsets, volume 165 of GTM. Springer, 1996. http://www.emis.de/cgi-bin/zmen/ZMATH/en/quick.html?type=html&an=0859.11003Zbl 0859.11003.
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