On the boundedness of Weyl sums

DOI10.1007/BF01299381zbMath0764.11033MaRDI QIDQ1207644

Peter Hellekalek

Publication date: 12 May 1993

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/178588

zbMATH Keywords

irrational rotationsFourier coefficientsuniform distributionWeyl sumsgrowth conditionsirregularities of distributioncoboundary theorems

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Irregularities of distribution, discrepancy (11K38) General theory of distribution modulo (1) (11K06)

Cites Work

• Skew products over the irrational rotation
• On the ergodicity of a class of skew products
• Abschätzungen für \(\sum _{n\leq N}B_ 1(n\alpha)\). (Estimates for \(\sum _{n\leq N}B_ 1(n\alpha)\))
• On Weyl sums and skew products over irrational rotations
• On convergence and growth of partial sums of Fourier series
• On a conjecture of Erdös and Szüsz related to uniform distribution mod 1
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