Continued fractions, multidimensional diophantine approximations and applications

DOI10.5802/jtnb.259zbMath0987.11043OpenAlexW2013277933MaRDI QIDQ1975053

Nikolai G. Moshchevitin

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_425_0

zbMATH Keywords

uniform distributionbest approximationsbounded partial quotientsmetric theoremssuccessive approximations for linear forms

Mathematics Subject Classification ID

Continued fractions and generalizations (11J70) Irregularities of distribution, discrepancy (11K38) Diophantine approximation in probabilistic number theory (11K60)

Related Items (1)

A two-dimensional continued fraction algorithm with Lagrange and Dirichlet properties

Cites Work

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• Dyadic fractions with small partial quotients
• Diophantine approximation
• Best simultaneous Diophantine approximations. II: Behavior of consecutive best approximations
• Nonrecurrence of the integral of a conditionally periodic function
• On integrals of quasiperiodic functions
• Recurrence of the integral of an odd conditionally periodic function
• On simultaneous Diophantine approximations. Vectors of a given Diophantine type
• Recurrence of the integral of a smooth conditionally periodic function
• Geometry of the best approximations
• Klein polyhedrals for two cubic Davenport forms
• Distribution of values of linear functions and asymptotic behavior of trajectories of some dynamical systems
• Recurrence of the integral of a smooth three-frequency conditionally periodic function
• Un théorème d'existence pour les approximations diophantiennes
• Zaremba's Conjecture and Sums of the Divisor Function
• Applications of Number Theory to Numerical Analysis
• The representation of rational numbers by terminating continued fractions
• On best simultaneous approximations
• SOME PROBLEMS IN THE THEORY OF DIOPHANTINE APPROXIMATION
• On Uniform Distribution of Algebraic Numbers
• Simultaneous Diophantine Approximation
• Simultaneous Diophantine Approximation (II)†

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