The discrepancy of \((n\alpha)_{n\geq 1}\)

DOI10.1007/BF01445118zbMath0786.11043MaRDI QIDQ1318072

Johannes Schoissengeier

Publication date: 9 May 1994

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/165098

zbMATH Keywords

discrepancyquadratic irrationalsbest possible estimatesnumbers of bounded density

Mathematics Subject Classification ID

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

Related Items

On sums of fractional parts \(\{na+y\}\), DISCREPANCY ESTIMATES FOR ROTATION SEQUENCES AND OSCILLATION SEQUENCES, EXACT FORMULA FOR DISTRIBUTION OF SEQUENCES {ωn}, Lattice orbit distribution on ℝ², A renormalization approach to irrational rotations, Itineraries of rigid rotations and diffeomorphisms of the circle

Cites Work

• Unnamed Item
• On the discrepancy of (n\(\alpha\) ). II
• Abschätzungen für \(\sum _{n\leq N}B_ 1(n\alpha)\). (Estimates for \(\sum _{n\leq N}B_ 1(n\alpha)\))
• On the discrepancy of the sequence formed by the multiples of an irrational number
• On the theory of diophantine approximations. II (inhomogeneous problems)
• Sur la repartition modulo 1 de la suite nα