Description and exact maximum and minimum values of the remainder in the problem of the distribution of fractional parts

DOI10.1134/S0001434611010068zbMath1303.11078MaRDI QIDQ650378

A. V. Shutov, V. V. Krasil'shchikov

Publication date: 25 November 2011

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

piecewise linear functionsdistribution of fractional partsextreme values of the remainder

Mathematics Subject Classification ID

Irregularities of distribution, discrepancy (11K38) Distribution modulo one (11J71) Special sequences (11K31)

Related Items (7)

Exchanged toric tilings, Rauzy substitution, and bounded remainder sets ⋮ Local discrepancies in the problem of fractional parts distribution of a linear function ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Nonautonomous bounded remainder sets ⋮ Local discrepancies in the problem of the distribution of the sequence \(\{k\alpha\}\) ⋮ Тригонометрические интегралы над одномерными квазирешетками произвольной коразмерности

Cites Work

• One-dimensional quasiperiodic tilings admitting progressions enclosure
• Admissible functions with multiple discontinuities
• On sums of fractional parts \(\{na+y\}\)
• Balance properties of multi-dimensional words
• Prime flows in topological dynamics
• On a conjecture of Erdös and Szüsz related to uniform distribution mod 1
• Bounded remainder sets
• Unnamed Item
• Unnamed Item
• Unnamed Item

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