Notes on Erdös-Turán inequality

A new version of Erdös-Turán's inequality is described. The purpose of the present paper is to show that the inequality provides better upper bounds for the discrepancies of some sequences than usual Erdös-Turán's inequality.

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Veröffentlicht in:Journal of the Australian Mathematical Society (2001) 1999-08, Vol.67 (1), p.51-57
1. Verfasser: Ohkubo, Yukio
Format: Artikel
Sprache:eng
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Zusammenfassung:A new version of Erdös-Turán's inequality is described. The purpose of the present paper is to show that the inequality provides better upper bounds for the discrepancies of some sequences than usual Erdös-Turán's inequality.
ISSN:0263-6115
1446-7887
1446-8107
DOI:10.1017/S1446788700000860