On continued fractions and diophantine approximation in power series fields - Concepedia

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On continued fractions and diophantine approximation in power series fields

DOI Full Paper Access

158

Citations

10

References

2000

Year

Wolfgang M. Schmidt

Acta Arithmetica

Abstract

2000 Mathematics Subject Classification: 11J61, 11J70. Supported in part by NSF grant DMS-9710314.

References

	Year	Citations
Continued Fractions of Algebraic Power Series in Characteristic 2 Leonard E. Baum, Melvin M. Sweet Annals of Mathematics Real NumbersContinued Fraction TheoryFinite FieldAnalytic Number TheoryAnalytic Combinatorics	1976	112
Continued fractions for certain algebraic power series William Hobson Mills, David P. Robbins Journal of Number Theory Pade ApproximantContinued FractionContinued FractionsAnalytic Number Theory	1986	73
On some problems of the arithmetical theory of continued fractions Andrzej Schinzel Acta Arithmetica Geometry Of NumberContinued FractionsComputational Number TheoryAnalytic Number TheoryDiscrete Mathematics	1961	50
Badly Approximable Power Series in Characteristic 2 Leonard E. Baum, Melvin M. Sweet Annals of Mathematics Spectral TheoryPade ApproximationPade ApproximantEngineeringCharacteristic 2	1977	50
Effective bounds on the “diophantine approximation” of algebraic functions over fields of arbitrary characteristic and applications to differential equations Charles F. Osgood Indagationes Mathematicae (Proceedings) EngineeringAlgebraic ComplexityAnalytic Number TheoryAlgebraic AnalysisEffective Bounds	1975	35
Diophantine approximation in positive characteristic José Felipe Voloch Periodica Mathematica Hungarica Computational Number TheoryDiophantine ApproximationDiophantine AnalysisApproximation TheoryRational Approximation	1988	29
Diophantine Approximation and Continued Fraction Expansions of Algebraic Power Series in Positive Characteristic Alain Lasjaunias Journal of Number Theory Pade ApproximantDiophantine ApproximationContinued Fraction ExpansionsAnalytic Number TheoryAlgebraic Power Series	1997	25
Approximation exponents for algebraic functions in positive characteristic Bernard de Mathan Acta Arithmetica Characteristic PPade ApproximantApproximation ExponentsAlgebraic AnalysisRational Approximations	1992	23
On some problems of the arithmetical theory of continued fractions II Andrzej Schinzel Acta Arithmetica Geometry Of NumberContinued FractionsComputational Number TheoryAnalytic Number TheoryArithmetical Theory	1962	22
The Continued Fraction Expansion of An Algebraic Power Series Satisfying A Quartic Equation Marshall W. Buck, David P. Robbins Journal of Number Theory Pade ApproximantContinued FractionContinued Fraction Expansion	1995	19

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