Irregularities of distribution. I
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Publication:1094448
DOI10.1007/BF02392553zbMath0631.10034OpenAlexW2342092426MaRDI QIDQ1094448
Publication date: 1987
Published in: Acta Mathematica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf02392553
discrepancylower boundsFourier transformation methodirregularities of point distributionsrotation discrepancy
Irregularities of distribution, discrepancy (11K38) General theory of distribution modulo (1) (11K06)
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Cites Work
- Unnamed Item
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- Volumschätzung für die einen Eikörper überdeckenden und unterdeckenden Parallelotope
- On a problem of K. F. Roth concerning irregularities of point distribution
- Lectures on irregularities of distribution. (Notes by T. N. Shorey)
- Irregularities of distribution. IV
- Some upper bounds in the theory of irregularities of distribution
- Sums of distances between points on a sphere — an application of the theory of irregularities of distribution to discrete Geometry
- On Irregularities of Distribution
- Remark concerning integer sequences
- Irregularities of Distribution. II
- On irregularities of distribution
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