Best simultaneous approximations: norms, signatures, and asymptotic directions

DOI10.1007/BF02676334zbMath1037.11046OpenAlexW1967353515MaRDI QIDQ5942079

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Publication date: 16 January 2002

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02676334

zbMATH Keywords

normconvexityRogers signature theoremsimultaneous Diophantine approximations

Mathematics Subject Classification ID

Simultaneous homogeneous approximation, linear forms (11J13)

Cites Work

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• Best simultaneous Diophantine approximations. II: Behavior of consecutive best approximations
• On simultaneous Diophantine approximations. Vectors of a given Diophantine type
• Geometry of the best approximations
• Rational approximation vectors
• Best Simultaneously Diophantine Approximations. I. Growth Rates of Best Approximation Denominators
• On best simultaneous approximations
• The Asymptotic Directions of n Linear Forms in n +1 Integral Variables
• The Signatures of the Errors of Simultaneous Diophantine Approximations
• Simultaneous Diophantine Approximation (II)†

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