On Generalized Schur Numbers of the Equation x+ay=z

Amir Khamseh and Ji Gao

Journal of Mathematics, 2020, vol. 2020, 1-5

Abstract: Let a and r be positive integers. By definition, sar is the least positive integer such that, for any r-coloring of the interval 1,sar, there exists a monochromatic solution to x+ay=z. For a=1, the numbers sr=s1r are classical Schur numbers. In this paper, we study the numbers sar for a≥2.

Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:7069730

DOI: 10.1155/2020/7069730

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