On the one-sided boundedness of sums of fractional parts \((\{ n\alpha+ \gamma\}-\frac12)\).
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Publication:1970625
DOI10.1006/jnth.1999.2469zbMath1049.11086OpenAlexW1999340288MaRDI QIDQ1970625
Publication date: 9 February 2004
Published in: Journal of Number Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jnth.1999.2469
Continued fractions and generalizations (11J70) Irregularities of distribution, discrepancy (11K38) Special sequences (11K31)
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Cites Work
- Sums of fractional parts of integer multiples of an irrational
- On sums of fractional parts \(\{na+y\}\)
- On the generating function of the integer part: \([n\alpha{}+ \gamma{}\)]
- Prime flows in topological dynamics
- On the theory of diophantine approximations. I1 (on a problem of A. Ostrowski)
- On the one-sided boundedness of discrepancy function of the sequence {nα}
- On a conjecture of Erdös and Szüsz related to uniform distribution mod 1
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