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A Lattice Point Problem Related to Sets Containing No l-Term Arithmetic Progression
Published online by Cambridge University Press: 20 November 2018
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In 1927 van der Waerden [6] proved that given positive integers k and l, there exists an integer W such that if 1, 2, …, W are partitioned into k or fewer classes, then at least one class contains an l-term arithmetic progression (l-progression). Let W(k, l), be the smallest such integer W. It would be of interest to find a reasonable upper estimate for W(k, l), say one that could be written down.
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- Copyright © Canadian Mathematical Society 1971
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