On the distribution of sequences connected with good lattice points

DOI10.1007/BF01298926zbMath0584.10030MaRDI QIDQ1070278

Gerhard Larcher

Publication date: 1986

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/178269

zbMATH Keywords

discrepancyuniform distributiontwo-dimensional sequencesgood lattice pointsdistribution measure

Mathematics Subject Classification ID

Continued fractions and generalizations (11J70) General theory of distribution modulo (1) (11K06) Homogeneous approximation to one number (11J04)

Related Items (12)

A probability estimate for the discrepancy of Korobov lattice points ⋮ A best lower bound for good lattice points ⋮ Metric results on the approximation of zero by linear combinations of independent and of dependent rationals ⋮ On Sturmian graphs ⋮ On the distribution of partial quotients of reduced fractions with fixed denominator ⋮ Bykovskii's theorem and a generalization of Larcher's theorem ⋮ Optimal coefficients modulo prime powers in the three-dimensional case ⋮ Partial quotients and equidistribution ⋮ A lower bound on a quantity related to the quality of polynomial lattices ⋮ Quasirandom arithmetic permutations ⋮ Proof techniques in quasi-Monte Carlo theory ⋮ Low-discrepancy point sets

Cites Work

• Unnamed Item
• Zur angenäherten Berechnung mehrfacher Integrale
• Optimale Koeffizienten bezüglich zusammengesetzter Zahlen. (Optimal coefficients modulo composite numbers)
• Good lattice points modulo composite numbers
• Pseudo-random numbers and optimal coefficients
• Existence of good lattice points in the sense of Hlawka
• Irregularities of distribution, VII
• On Character Sums and L -Series. II

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