An analogue of a theorem of Szüsz for formal Laurent series over finite fields.

DOI10.1016/S0022-314X(03)00012-XzbMath1033.11036MaRDI QIDQ1399673

Michael Fuchs

Publication date: 30 July 2003

Published in: Journal of Number Theory (Search for Journal in Brave)

zbMATH Keywords

finite fieldsinvariance principlesdependent random variablesmetric diophantine approximationFormal Laurent seriesmetric continued fractions theory

Mathematics Subject Classification ID

Continued fractions and generalizations (11J70) Metric theory (11J83) Metric theory of continued fractions (11K50) Diophantine approximation in probabilistic number theory (11K60)

Related Items (5)

Invariance principles for Diophantine approximation of formal Laurent series over a finite base field ⋮ Inhomogeneous Diophantine approximation over the field of formal Laurent series ⋮ On sums of degrees of the partial quotients in continued fraction expansions of Laurent series ⋮ ON THE LARGEST DEGREE OF THE PARTIAL QUOTIENTS IN CONTINUED FRACTION EXPANSIONS OVER THE FIELD OF FORMAL LAURENT SERIES ⋮ Unnamed Item

Cites Work

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• Sequences, discrepancies and applications
• On metric Diophantine approximation in the field of formal Laurent series
• Invariance principles in metric Diophantine approximation
• A Note on The Metrical Theory of Continued Fractions
• On the Frequency of Small Fractional Parts in Certain Real Sequences
• On the Frequency of Small Fractional Parts in Certain Real Sequences. II
• Verallgemeinerung und Anwendungen eines Kusminschen Satzes
• The Probabilistic Theory of Linear Complexity
• On continued fractions and diophantine approximation in power series fields
• On a problem of W. J. LeVeque concerning metric diophantine approximation II
• Mixing sequences of random variables and probablistic number theory

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