Hausdorff measure of zeros of polynomials
arxiv(2023)
摘要
The paper provides an elementary proof establishing a sharp universal bound
on the (d-1)-Hausdorff measure of the zeros of any nontrivial multivariable
polynomial p:ℝ^d→ℝ within a d-dimensional cube of size
r. This bound depends solely on the parameter r, the dimension d, and the
degrees of p.
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