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math.CA2021
The Sharp Erdős-Turán Inequality
Ruiwen Shu, Jiuya Wang
Erdős and Turán proved a classical inequality on the distribution of roots for a complex polynomial in 1950, depicting the fundamental interplay between the size of the coefficient…
math.CA2021
Generalized Erdős-Turán inequalities and stability of energy minimizers
Ruiwen Shu, Jiuya Wang
The classical Erdős-Turán inequality on the distribution of roots for complex polynomials can be equivalently stated in a potential theoretic formulation, that is, if the logarithm…
math.CA2021★ 12 cited
Hilbert transforms and the equidistribution of zeros of polynomials
Emanuel Carneiro, Mithun Kumar Das, Alexandra Florea +5
We improve the current bounds for an inequality of Erdős and Turán from 1950 related to the discrepancy of angular equidistribution of the zeros of a given polynomial. Building upo…