On continued fractions and diophantine approximation in power series fields

Wolfgang M. Schmidt

Type: Article

Publication Date: 2000-01-01

Citations: 155

DOI: https://doi.org/10.4064/aa-95-2-139-166

Abstract

2000 Mathematics Subject Classification: 11J61, 11J70.Supported in part by NSF grant DMS-9710314.( 1 ) I had been tempted to introduce a different convention, with the + signs in (1.1), (1.2) replaced by -, and setting Q -2 = -1.This would make some sense in the function field case (where positivity of partial quotients is not defined) by simplifying a number of formulas (e.g., the right hand side of (1.5) would become 1).I gave up on this idea since it would have made it harder to connect with the existing literature.

Locations

Acta Arithmetica - View - PDF

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+	Traité des fonctions elliptiques et de leurs applications	2003	G. Halphen
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+ PDF Chat	On some problems of the arithmetical theory of continued fractions	1961	Andrzej Schinzel
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+ PDF Chat	Ueber die Integration der Differential-Formel , wenn R und ϱ ganze Functionen sind.	1826	N. H. Abel
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+	Continued Fractions of Algebraic Power Series in Characteristic 2	1976	Leonard E. Baum Melvin M. Sweet
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