论文标题

零接近多项式系统的分区规律性

Partition regularity of polynomial systems near zero

论文作者

Baglini, Lorenzo Luperi

论文摘要

最近,S.〜Kanti Patra和Moid Shaik证明了特定密集的subigroups $ s $ of $((0,\ infty),+)$的多项式方程系统的单色解决方案。我们将其结果扩展到更大的系统,同时使用有关Ultrafters的基本结果,从而削弱了$ S $的请求。

Recently, S.~Kanti Patra and Md.~Moid Shaik proved the existence of monochromatic solutions to systems of polynomial equations near zero for particular dense subsemigroups $S$ of $((0,\infty),+)$. We extend their results to a much larger class of systems whilst weakening the requests on $S$, using solely basic results about ultrafilters.

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