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Nonstandard proof of combined sum and product structure in IP$^{*}$ sets (2110.09285v1)
Published 15 Oct 2021 in math.CO
Abstract: V. Bergelson and N. Hindman proved that $IP{*}$ sets contain all possible finite sum and product of a sum subsystem of any sequence in $\mathbb{N}$. In this article, we will prove this result using Nonstandard analysis.
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