SIMULTANEOUS APPROXIMATION BY CONJUGATE ALGEBRAIC NUMBERS IN FIELDS OF TRANSCENDENCE DEGREE ONE

DOI10.1142/S1793042105000212zbMath1114.11061arXivmath/0404268OpenAlexW2963946076MaRDI QIDQ3370694

Damien Roy

Publication date: 8 February 2006

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0404268

zbMATH Keywords

polynomialssimultaneous approximationheightsconjugate algebraic numbersfield of transcendence degree oneGel'fond's criterion

Mathematics Subject Classification ID

Measures of irrationality and of transcendence (11J82) Simultaneous homogeneous approximation, linear forms (11J13)

Related Items (1)

SMALL VALUE ESTIMATES FOR THE ADDITIVE GROUP

Cites Work

• Unnamed Item
• On Siegel's lemma
• Approximation of p-adic numbers by algebraic numbers of bounded degree
• Algebraic independence criteria.
• Homogeneous diophantine approximation in \(S\)-integers
• Approximation d'un nombre p-adique par des nombres algebriques
• Diophantine approximation by conjugate algebraic integers
• Inequalities for ideal bases in algebraic number fields

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