Davenport's theorem in geometric discrepancy theory

DOI10.1142/S1793042115400047zbMath1326.11040OpenAlexW2060804272MaRDI QIDQ2942519

William W. L. Chen

Publication date: 11 September 2015

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793042115400047

zbMATH Keywords

discrepancyirregularities of point distribution

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Fourier series and coefficients in several variables (42B05) Irregularities of distribution, discrepancy (11K38) Diophantine approximation in probabilistic number theory (11K60)

Cites Work

• Symmetrization of the van der Corput generalized sequences
• Translations of nets and relationship between supreme and \(L^ \kappa\)-discrepancies
• The extreme and \(L^2\) discrepancies of some plane sets
• The L 2 Discrepancy of Irrational Lattices
• ON IRREGULARITIES OF DISTRIBUTION II
• Orthogonality and Digit Shifts in the Classical Mean Squares Problem in Irregularities of Point Distribution
• Irregularities of Point Distribution Relative to Convex Polygons III
• Cyclic shifts of the van der Corput set
• A note on Diophantine approximation (II)
• On irregularities of distribution
• Note on irregularities of distribution
• Randomness in lattice point problems

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