On the uniform ε-distribution of residues within the periods of rational fractions with applications to normal numbers

DOI10.4064/aa-22-4-371-389zbMath0276.10029OpenAlexW870636097MaRDI QIDQ4402405

R. G. Stoneham

Publication date: 1973

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/205168

Mathematics Subject Classification ID

Distribution of integers in special residue classes (11N69) Transcendence (general theory) (11J81) Normal numbers, radix expansions, Pisot numbers, Salem numbers, good lattice points, etc. (11K16) Irregularities of distribution, discrepancy (11K38) Distribution modulo one (11J71) General theory of distribution modulo (1) (11K06)

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The repetends of reduced fractions $a/b^k$ approach full complexity with an increasing $k$ ⋮ Continued fractions of certain normal numbers ⋮ Some negative results related to Poissonian pair correlation problems ⋮ Generic sequences, transducers and multiplication of normal numbers ⋮ On the Distribution of Pseudo-Random Numbers Generated by the Linear Congruential Method. II ⋮ Quasi-Monte Carlo methods and pseudo-random numbers

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