On an inequality of erdos and turán concerning uniform distribution modulo one, II

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Abstract

A famous inequality of Erdo(combining double acute accent)s and Turán estimates the discrepancy Δ of a finite sequence of real numbers by the quantity B = minKK-1 + ∑K - 1k = 1k|/k, where the αk are the Fourier coefficients. We investigate how bad this estimate can be. We prove that in the worst case Δ is of order B3/2.

Original languageEnglish
Pages (from-to)84-88
Number of pages5
JournalJournal of Number Theory
Volume49
Issue number1
DOIs
Publication statusPublished - Oct 1994

ASJC Scopus subject areas

  • Algebra and Number Theory

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