Generalized continued fractions and ergodic theory

DOI10.1007/BF02169055zbMath0982.11038MaRDI QIDQ1125642

Lev D. Pustyl'nikov

Publication date: 12 December 1999

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

zbMATH Keywords

continued fractionsergodic theoryWeyl sums

Mathematics Subject Classification ID

Continued fractions and generalizations (11J70) Small fractional parts of polynomials and generalizations (11J54) Weyl sums (11L15)

Related Items (1)

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

Cites Work

• Unnamed Item
• Minima of decomposable forms of degree \(n\), in \(n\) variables for \(n\geq{} 3\)
• Klein polyhedrals for two cubic Davenport forms
• Generalized continued fractions and estimates of Weyl sums and the remainder term in the distribution law for the fractional parts of the values of a polynomial
• Diophantine approximation of linear forms over an algebraic number field
• New estimates of Weyl sums and the remainder term in the law of distribution of the fractional part of a polynomial
• Distribution of the fractional parts of a polynomial, Weyl sums, and ergodic theory
• On the Product of Three Homogeneous Linear Forms (II)
• The Product of Three Homogeneous Linear Ternary Forms

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