One more proof of the Erdős--Turán inequality, and an error estimate in Wigner's law

Details One more proof of the Erdős--Turán inequality, and an error estimate in Wigner's law One more proof of the Erdős--Turán inequality, and an error estimate in Wigner's law

2009-01-12

arxiv.org/abs/0901.1620v1

Concentration, Functional Inequalities and Isoperimetry, Contemporary Mathematics, vol. 545, Amer. Math. Soc., Providence, RI,

Mathematics

Classical Analysis and ODEs

9 pp

Scientific paper

We prove the Erdos-Turan equidistribution inequality, using a construction
due to Chebyshev, Markov, and Stieltjes. The method is applicable in a more
general setting. As an example, we state another inequality that can be proved
using this method. The inequality can be used to get an error estimate in
Wigner's law which is sharp near the edge.

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