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Conlon, David
Rainbow AP(4) in an almost equinumerous coloring ★★
Author(s): Conlon
Problem Do 4-colorings of
, for
a large prime, always contain a rainbow
if each of the color classes is of size of either
or
?
![$ \mathbb{Z}_{p} $](/files/tex/ca03dcde1fc73a1d3d1916bca138cd11161ea69a.png)
![$ p $](/files/tex/928cd9d544fdea62f88a627aaee28c416c4366c0.png)
![$ AP(4) $](/files/tex/abd6fa4428454b30450d94292e000c9ecaa7a4fc.png)
![$ \lfloor p/4\rfloor $](/files/tex/d906d60e3b848dd93ec8be196b73063411f71d25.png)
![$ \lceil p/4\rceil $](/files/tex/5e7562752899a961fe9ccacfd0a84316504a88c2.png)
Keywords: arithmetic progression; rainbow
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