On finite pseudorandom binary sequences. VI: On \((n^k\alpha)\) sequences
type: Item
instance of: scholarly article
title: On finite pseudorandom binary sequences. VI: On \((n^k\alpha)\) sequences
zbMATH Open document ID: 1011.11054
author: Christian Mauduit
author: András Sárközy
published in: Monatshefte für Mathematik
publication date: 2000-11-20T00:00:00Z
review text: The authors continue their work on binary pseudorandom sequences. They study the well-distribution measure and the correlation measure for sequences \((n^k\alpha)\). The main results are upper bounds for these distribution measures in the case of real numbers \(\alpha\) with bounded continued fraction expansion as well as metric results. The proofs depend on the inequality of Erdős-Turán and estimates for exponential sums. Part VII, Acta Arith. 103, 97-118 (2002; Zbl 1126.11330), Part V, Monatsh. Math. 129, 197-216 (2000; Zbl 0973.11076).
Mathematics Subject Classification ID: 11K45
zbMATH DE Number: 1533083
zbMATH Keywords: well-distribution measure
zbMATH Keywords: correlation measure
zbMATH Keywords: upper bounds
zbMATH Keywords: metric results
reviewed by: Robert F. Tichy
MaRDI profile type: Publication
full work available at URL: s006050070028
OpenAlex ID: W2053145155
DOI: 10.1007/S006050070028
description: scientific article; zbMATH DE number 1533083