Sarnak's volume-approximation conjecture for polynomial level sets
Let F=(F1,…,Fp):Rn→RpF=(F_1,\ldots,F_p):\mathbb{R}^n\to\mathbb{R}^pF=(F1,…,Fp):Rn→Rp be a polynomial map of degree ddd, let K⊆RnK\subseteq\mathbb{R}^nK⊆Rn be a compact set satisfying (P1), and let T>0T>0T>0 and α\alphaα be…