The distribution of Farey points

DOI10.1007/BF01428199zbMath0248.10013OpenAlexW2004477572MaRDI QIDQ2556436

Harald Niederreiter

Publication date: 1973

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/162396

Mathematics Subject Classification ID

Zeta and (L)-functions: analytic theory (11M99) Fibonacci and Lucas numbers and polynomials and generalizations (11B39) Distribution modulo one (11J71)

Related Items (15)

On the uniform distribution (mod 1) of the Farey fractions and \(\ell ^ p\) spaces ⋮ On the distribution of reduced fractions with squarefree denominators ⋮ Asymptotic distribution of the distance function to the Farey points ⋮ Discrepancy of fractions with divisibility constraints ⋮ Eine Bemerkung zur Franelsumme von Folgen. (Note on the Franel sum of sequences) ⋮ On a way of ordering real algebraic numbers uniformly ⋮ On the error term of a lattice counting problem ⋮ Additive energy and the Hausdorff dimension of the exceptional set in metric pair correlation problems ⋮ KHINTCHINE'S THEOREM WITH RANDOM FRACTIONS ⋮ Discrepancy of Farey sequences ⋮ Denominator-preserving maps ⋮ On the density function of the distribution of real algebraic numbers ⋮ Optimal quantization via dynamics ⋮ О способе равномерного упорядочения вещественных алгебраических чисел ⋮ Asymptotic formula for balanced words

Cites Work

• Sequences of Mass Distributions on the Unit Circle which Tend to a Uniform Distribution
• The distribution of Farey points, I
• On the Distribution of Pseudo-Random Numbers Generated by the Linear Congruential Method
• The Structure of Farey Series
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