INFINITE-DIMENSIONAL GENERALIZED CONTINUED FRACTIONS, DISTRIBUTION OF QUADRATIC RESIDUES AND NON-RESIDUES, AND ERGODIC THEORY

DOI10.1142/S0219025702000973zbMath1089.11043MaRDI QIDQ4818912

Lev D. Pustyl'nikov

Publication date: 24 September 2004

Published in: Infinite Dimensional Analysis, Quantum Probability and Related Topics (Search for Journal in Brave)

zbMATH Keywords

ergodic propertiesGeneralized continued fractionsinfinite-dimensional vector with integer componentsquadratic residues and non-residues

Mathematics Subject Classification ID

Distribution of integers in special residue classes (11N69) Metric theory of continued fractions (11K50)

Cites Work

• Generalized continued fractions and ergodic theory
• Comparison of various generalizations of continued fractions
• Diophantine approximation of linear forms over an algebraic number field
• Infinite-dimensional generalized continued fractions, quadratic residues and non-residues, and ergodic theory
• On the Product of Three Homogeneous Linear Forms (II)
• The Product of Three Homogeneous Linear Ternary Forms

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