On bounded remainder intervals and strongly non-bounded remainder intervals for sequences \((\{a_n \alpha \})_{n \geq 1}\)

DOI10.1016/j.jnt.2018.11.004zbMath1454.11139OpenAlexW2903677906MaRDI QIDQ1729750

Lisa Kaltenböck, Gerhard Larcher

Publication date: 28 February 2019

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2018.11.004

zbMATH Keywords

discrepancyuniform distributionbounded remainder sets

Mathematics Subject Classification ID

Irregularities of distribution, discrepancy (11K38) General theory of distribution modulo (1) (11K06)

Cites Work

• Sequences, discrepancies and applications
• Regularities in the distribution of special sequences
• Admissible functions with multiple discontinuities
• A sequence has almost nowhere small discrepancy
• Additive energy and the Hausdorff dimension of the exceptional set in metric pair correlation problems
• Prime flows in topological dynamics
• METRIC RESULTS ON THE DISCREPANCY OF SEQUENCES MODULO ONE FOR INTEGER SEQUENCES OF POLYNOMIAL GROWTH
• Sets of bounded remainder for a continuous irrational rotation on $[0,1^2$]
• Développement en base $\theta$, répartition modulo un de la suite $(x\theta \sp n)$, n$\ge 0$, langages codés et $\theta$-shift
• On a conjecture of Erdös and Szüsz related to uniform distribution mod 1
• Irregularities of distribution, VII
• Bounded remainder sets
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