Local discrepancies in the problem of the distribution of the sequence \(\{k\alpha\}\)

DOI10.1134/S0001434621030147zbMath1473.11151OpenAlexW3181188875MaRDI QIDQ2037683

A. V. Shutov

Publication date: 8 July 2021

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

Full work available at URL: https://doi.org/10.1134/s0001434621030147

zbMATH Keywords

continued fractionsuniform distributioninhomogeneous Diophantine approximationslocal discrepancies

Mathematics Subject Classification ID

Irregularities of distribution, discrepancy (11K38) Inhomogeneous linear forms (11J20)

Cites Work

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• Local discrepancies in the problem of fractional parts distribution of a linear function
• Über \(\displaystyle{\lim_{x\to +\infty}} x|\vartheta x+\alpha - y|\)
• Répartition des suites (nα)_n∈Net substitutions
• On a conjecture of Erdös and Szüsz related to uniform distribution mod 1
• Irregularities of distribution, VII
• On a Theorem of Khintchine

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