Local discrepancies in the problem of fractional parts distribution of a linear function
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Publication:2399421
DOI10.3103/S1066369X17020098zbMath1418.11113MaRDI QIDQ2399421
Publication date: 23 August 2017
Published in: Russian Mathematics (Search for Journal in Brave)
continued fractionsuniform distributioninhomogeneous Diophantine approximationbounded partial quotientslocal discrepancy
Irregularities of distribution, discrepancy (11K38) General theory of distribution modulo (1) (11K06) Special sequences (11K31)
Related Items (2)
Nonautonomous bounded remainder sets ⋮ Local discrepancies in the problem of the distribution of the sequence \(\{k\alpha\}\)
Cites Work
- On the local discrepancy of (\(n\alpha \))-sequences
- Description and exact maximum and minimum values of the remainder in the problem of the distribution of fractional parts
- Sequences, discrepancies and applications
- Inhomogeneous diophantine approximations and distribution of fractional parts
- Real numbers with bounded partial quotients: A survey
- On sums of fractional parts \(\{na+y\}\)
- Randomness of the square root of 2 and the giant leap. I
- Randomness of the square root of 2 and the giant leap. II
- Répartition des suites (nα)n∈Net substitutions
- On a conjecture of Erdös and Szüsz related to uniform distribution mod 1
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