Sharp bounds of O(log n/(δσ)) and O(1/(δσ)) for distance to normality when roots avoid a disk or sector, resolving Pemantle's conjecture and the Ghosh-Liggett-Pemantle multivariate CLT question.
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Central limit theorems and the geometry of polynomials
Sharp bounds of O(log n/(δσ)) and O(1/(δσ)) for distance to normality when roots avoid a disk or sector, resolving Pemantle's conjecture and the Ghosh-Liggett-Pemantle multivariate CLT question.