On approximation with algebraic numbers of bounded degree

DOI10.1112/S0025579300016466zbMath0327.10034OpenAlexW2096629029MaRDI QIDQ4092044

Roger C. Baker

Publication date: 1976

Published in: Mathematika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/s0025579300016466

Mathematics Subject Classification ID

Transcendence (general theory) (11J81) Diophantine approximation in probabilistic number theory (11K60) Approximation by numbers from a fixed field (11J17)

Related Items (9)

On the exact Hausdorff dimension of the set of Liouville numbers. II ⋮ Continued fractions with low complexity: transcendence measures and quadratic approximation ⋮ Quadratic approximation in ℚ_p ⋮ On Diophantine exponents for Laurent series over a finite field ⋮ Liouville numbers and normal numbers ⋮ Exponents of Diophantine approximation and Sturmian continued fractions. ⋮ Mahler's classification of complex numbers ⋮ The existence of $T$-numbers in positive characteristic ⋮ An equivalence principle between polynomial and simultaneous Diophantine approximation

Cites Work

• Simultaneous approximation to algebraic numbers by rationals
• Diophantine Approximation and Hausdorff Dimension
• Über die Mahlersche Klasseneinteilung der transzendenten Zahlen und die Approximation komplexer Zahlen durch algebraische Zahlen

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