2 problems

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Elekes's nearly quadratic image-size conjecture
Let $f\in\mathbb{R}[x,y]$ be a fixed bivariate polynomial, and let $A,B\subset\mathbb{R}$ be finite sets with $|A|=|B|=n$ . Call $f$ non-special if it is neither additive, meaning…
Conjectureopenarithmetic-combinatorics elekes-ronyai incidence-geometryarXiv posted 2 days ago
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Symmetric structure conjecture for the multivariate Elekes–Rónyai theorem
Symmetric structure conjecture. The theorem should remain true with
Conjectureopenadditive-combinatorics elekes-ronyai incidence-geometryarXiv posted 2 days ago

Elekes's nearly quadratic image-size conjecture