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A Lattice Point Problem Related to Sets Containing No l-Term Arithmetic Progression
Canadian mathematical bulletin, Tome 14 (1971) no. 4, pp. 535-538

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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. 
Riddell, J. A Lattice Point Problem Related to Sets Containing No l-Term Arithmetic Progression. Canadian mathematical bulletin, Tome 14 (1971) no. 4, pp. 535-538. doi: 10.4153/CMB-1971-095-0
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     title = {A {Lattice} {Point} {Problem} {Related} to {Sets} {Containing} {No} {l-Term} {Arithmetic} {Progression}},
     journal = {Canadian mathematical bulletin},
     pages = {535--538},
     year = {1971},
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     doi = {10.4153/CMB-1971-095-0},
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