On the discrepancy of (n\(\alpha\) ). II

DOI10.1016/0022-314X(86)90057-0zbMath0588.10058OpenAlexW2071200011MaRDI QIDQ1073086

Johannes Schoissengeier

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1016/0022-314x(86)90057-0

zbMATH Keywords

asymptotic behaviourlower estimatesdiscrepancyupper estimatesCesarò-bounded

Mathematics Subject Classification ID

Distribution modulo one (11J71) General theory of distribution modulo (1) (11K06)

Related Items (13)

Abschätzungen für \(\sum _{n\leq N}B_ 1(n\alpha)\). (Estimates for \(\sum _{n\leq N}B_ 1(n\alpha)\)) ⋮ On sums of fractional parts \(\{na+y\}\) ⋮ DISCREPANCY ESTIMATES FOR ROTATION SEQUENCES AND OSCILLATION SEQUENCES ⋮ On the discrepancy of irrational rotations with isolated large partial quotients: long term effects ⋮ Continued fractions and irrational rotations ⋮ EXACT FORMULA FOR DISTRIBUTION OF SEQUENCES {ωn} ⋮ On discrepancies of irrational rotations: an approach via rational rotation ⋮ An upper estimate for the discrepancy of irrational rotations ⋮ On the local discrepancy of (\(n\alpha \))-sequences ⋮ Lattice orbit distribution on ℝ² ⋮ A metrical result on the discrepancy of (nα) ⋮ The discrepancy of \((n\alpha)_{n\geq 1}\) ⋮ On the discrepancy of (n\(\alpha\) ). II

Cites Work

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• Extension à la dimension n d'un théorème de Ortel et Schneider. (Extension of a theorem of Ortel and Schneider to n dimensions)
• On the discrepancy of (n\(\alpha\) ). II
• On the discrepancy of the sequence formed by the multiples of an irrational number

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