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Polynomial Extensions of the Milliken-Taylor Theorem

Vitaly Bergelson, Neil Hindman, Kendall Williams · 2014 · DOI 10.1090/s0002-9947-2014-05958-8

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Monochromatic sums and quotients in $\mathbb N$

math.LO · 2026-03-03 · unverdicted · novelty 7.0

The configuration x, y, x+y, y/x is partition regular in the naturals in a strong infinitary sense extending Hindman's theorem, while related product configurations of degree-one polynomials reduce to a few special cases.

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  • Monochromatic sums and quotients in $\mathbb N$ math.LO · 2026-03-03 · unverdicted · none · ref 1

    The configuration x, y, x+y, y/x is partition regular in the naturals in a strong infinitary sense extending Hindman's theorem, while related product configurations of degree-one polynomials reduce to a few special cases.