Discrepancy of Farey sequences

DOI10.5802/jtnb.255zbMath0981.11026OpenAlexW1971257223MaRDI QIDQ1975048

François Dress

Publication date: 3 April 2000

Published in: Journal de Théorie des Nombres de Bordeaux (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=JTNB_1999__11_2_345_0

zbMATH Keywords

Farey sequence of order \(n\)absolute discrepancy

Mathematics Subject Classification ID

Irregularities of distribution, discrepancy (11K38) Special sequences (11K31)

Related Items (11)

A note on the pair correlation of Farey fractions ⋮ On the distribution of reduced fractions with squarefree denominators ⋮ On a way of ordering real algebraic numbers uniformly ⋮ Minimum weight Euclidean \((1+\varepsilon)\)-spanners ⋮ Estimation of the number of ultrasubharmonics for a two-dimensional almost autonomous Hamiltonian system periodic in time ⋮ Additive energy and the Hausdorff dimension of the exceptional set in metric pair correlation problems ⋮ Minimum weight Euclidean \((1+\varepsilon)\)-spanners ⋮ Unnamed Item ⋮ On the density function of the distribution of real algebraic numbers ⋮ Optimal quantization via dynamics ⋮ О способе равномерного упорядочения вещественных алгебраических чисел

Cites Work

• Summatory function of the Möbius function. III: Strong effective asymptotic upper bounds
• The distribution of Farey points
• Fonction sommatoire de la fonction de Möbius 1. Majorations expérimentales
• Fonction sommatoire de la fonction de Mobius 2. Majorations asymptotiques élémentalres

This page was built for publication: Discrepancy of Farey sequences