A symmetric multivariate Elekes-Rónyai theorem

Yewen Sun

We consider a polynomial $P\in \mathbb{R}[x_1,\cdots ,x_d]$ of degree $\hat{I}´$ that depends non-trivially on each of $x_1,...,x_d$ with $d\ge 2$. For any integer $t$ with $2\leq…