Monochromatic products and sums in the rationals
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2022
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| _version_ | 1866910704581214208 |
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| author | Bowen, Matt Sabok, Marcin |
| author_facet | Bowen, Matt Sabok, Marcin |
| contents | We show that for every coloring of the rationals into finitely many colors, one of the colors contains a set of the form $\{x,y,xy,x+y\}$ for some nonzero $x$ and $y$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2210_12290 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Monochromatic products and sums in the rationals Bowen, Matt Sabok, Marcin Combinatorics Dynamical Systems Logic Number Theory We show that for every coloring of the rationals into finitely many colors, one of the colors contains a set of the form $\{x,y,xy,x+y\}$ for some nonzero $x$ and $y$. |
| title | Monochromatic products and sums in the rationals |
| topic | Combinatorics Dynamical Systems Logic Number Theory |
| url | https://arxiv.org/abs/2210.12290 |