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

Michael Fuchs

doi:10.1016/S0022-314X(03)00012-X

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

Michael Fuchs^*

^*Corresponding author for this work

Department of Applied Mathematics

Research output: Contribution to journal › Article › peer-review

10 Scopus citations

Abstract

About 40 years ago, Szüsz proved an extension of the well-known Gauss-Kuzmin theorem. This result played a crucial role in several subsequent papers (for instance, papers due to Szüsz, Philipp, and the author). In this note, we provide an analogue in the field of formal Laurent series and outline applications to the metric theory of continued fractions and to the metric theory of diophantine approximation.

Original language	English
Pages (from-to)	105-130
Number of pages	26
Journal	Journal of Number Theory
Volume	101
Issue number	1
DOIs	https://doi.org/10.1016/S0022-314X(03)00012-X
State	Published - 1 Jul 2003

Keywords

Dependent random variables
Finite fields
Formal Laurent series
Invariance principles
Metric continued fractions theory
Metric diophantine approximation

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10.1016/S0022-314X(03)00012-X

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KW - Invariance principles

KW - Metric continued fractions theory

KW - Metric diophantine approximation

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