A curiosity about \((-1)^{[e]} +(-1)^{[2e]} + \cdots +(-1)^{[Ne]}\)

DOI10.2478/udt-2020-0007zbMath1484.11159OpenAlexW3118428109MaRDI QIDQ2129346

Francesco Amoroso, Moubinool Omarjee

Publication date: 22 April 2022

Published in: Uniform Distribution Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/udt-2020-0007

zbMATH Keywords

uniform distribution modulo 1oscillating sums

Mathematics Subject Classification ID

Continued fractions (11A55) Irregularities of distribution, discrepancy (11K38) General theory of distribution modulo (1) (11K06)

Cites Work

• On the local discrepancy of (\(n\alpha \))-sequences
• Algebraic computations with continued fractions
• Minimum and maximum order of magnitude of the discrepancy of (nα)
• AN Ω RESULT IN UNIFORM DISTRIBUTION THEORY
• Almost Alternating Sums
• Irregularities of distribution, VII
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