Rainbow 3-term Arithmetic Progressions

@inproceedings{Jungic2003Rainbow3A,
  title={Rainbow 3-term Arithmetic Progressions},
  author={Veselin Jungic and Rados Radoicic},
  year={2003}
}
Consider a coloring of {1, 2, . . . , n} in 3 colors, where n ≡ 0 (mod 3). If all the color classes have the same cardinality, then there is a 3-term arithmetic progression whose elements are colored in distinct colors. This rainbow variant of van der Waerden’s theorem proves the conjecture of the second author. 

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