
van der Waerden
Concavity of van der Waerden numbers ★★
Author(s): Landman
For and
positive integers, the (mixed) van der Waerden number
is the least positive integer
such that every (red-blue)-coloring of
admits either a
-term red arithmetic progression or an
-term blue arithmetic progression.
Conjecture For all
and
with
,
.




Keywords: arithmetic progression; van der Waerden
