An Elekes–Rónyai theorem for sets with few products
Given $n \in \mathbb{N}$, we call a polynomial $F \in \mathbb{C}[x_{1},\dots ,x_{n}]$ degenerate if there exist $P\in \mathbb{C}[y_{1}, \dots , y_{n-1}]$ and monomials $m_{1}, \dots , m_{n-1}$ with fractional exponents, such that $F = P(m_{1}, \dots , m_{n-1})$. Our main result shows that whenever a...
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| Format: | Journal article |
| Language: | English |
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Oxford University Press
2024
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