Erdős–Turán inequality
id:
erd-s-tur-n-inequality-319-3310242
title:
Erdős–Turán inequality
text:
In mathematics, the Erdős–Turán inequality bounds the distance between a probability measure on the circle and the Lebesgue measure, in terms of Fourier coefficients. It was proved by Paul Erdős and Pál Turán in 1948. Let μ be a probability measure on the unit circle R/Z. The Erdős–Turán inequality states that, for any natural number n, where the supremum is over all arcs A ⊂ R/Z of the unit circle, mes stands for the Lebesgue measure, are the Fourier coefficients of μ, and C > 0 is a numerical
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https://en.wikipedia.org/wiki/Erd%C5%91s%E2%80%93Tur%C3%A1n_inequality
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date modified:
2023-02-24T09:21:57Z
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