Higher diophantine approximation exponents and continued fraction symmetries for function fields II

DOI10.1090/S0002-9939-2013-11538-8zbMath1272.11127OpenAlexW2060153247MaRDI QIDQ2839344

Dinesh S. Thakur

Publication date: 5 July 2013

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-2013-11538-8

zbMATH Keywords

function fieldscontinued fractionsdiophantine approximation exponents

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Continued fractions and generalizations (11J70) Transcendence theory of Drinfel'd and (t)-modules (11J93) Approximation to algebraic numbers (11J68)

Related Items (5)

Quadratic approximation for some badly rational approximable power series ⋮ Baker-Schmidt theorem for Hausdorff dimensions in finite characteristic ⋮ MAHLER’S AND KOKSMA’S CLASSIFICATIONS IN FIELDS OF POWER SERIES ⋮ On Diophantine exponents for Laurent series over a finite field ⋮ On quadratic approximation for hyperquadratic continued fractions

Cites Work

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• Diophantine approximation in positive characteristic
• Diophantine approximation
• Continued fractions of algebraic power series in characteristic 2
• Diophantine approximation exponents and continued fractions for algebraic power series
• Diophantine approximation and deformation
• Higher diophantine approximation exponents and continued fraction symmetries for function fields
• On continued fractions and diophantine approximation in power series fields
• On a Theorem of Liouville in Fields of Positive Characteristic

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