Diophantine approximations and directional discrepancy of rotated lattices
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Publication:2790611
DOI10.1090/tran/6492zbMath1334.11059OpenAlexW2126246474MaRDI QIDQ2790611
Craig V. Spencer, Xiaomin Ma, Jill Pipher, Dmitriy Bilyk
Publication date: 7 March 2016
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://semanticscholar.org/paper/89d243bedf81174a7387bcf8c59b9fa125fedd45
Hausdorff and packing measures (28A78) Irregularities of distribution, discrepancy (11K38) Diophantine approximation in probabilistic number theory (11K60) Lattices and convex bodies in (2) dimensions (aspects of discrete geometry) (52C05)
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Cites Work
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- Sequences, discrepancies and applications
- On distribution of fractional parts of linear forms
- Kakeya sets and directional maximal operators in the plane
- Irregularities of distribution. I
- On the discrepancy of convex plane sets
- Littlewood-Paley decompositions and Fourier multipliers with singularities on certain sets
- Density modulo 1 of lacunary and sublacunary sequences: application of Peres-Schlag's construction
- Discrepancy with respect to convex polygons
- On the sum and product of continued fractions
- Maximal Operators Associated to Sets of Directions of Hausdorff and Minkowski Dimension Zero
- Badly approximable numbers and Littlewood-type problems
- Directional discrepancy in two dimensions
- On a result of Marshall Hall
- Two Erdős problems on lacunary sequences: Chromatic number and Diophantine approximation
- Numbers contravening a condition in density modulo 1
- Irregularities of Point Distribution Relative to Convex Polygons III
- On the asymptotic behavior of weakly lacunary series
- Irregularities of distribution, VII
- A note on Diophantine approximation (II)
- On irregularities of distribution
- On the density of sequences \(\{n_k\xi\}\)
- Chromatic numbers of Cayley graphs on \(\mathbb Z\) and recurrence
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