Rational Approximations to Certain Algebraic Numbers

DOI10.1112/plms/s3-14.3.385zbMath0131.29102OpenAlexW2011328516MaRDI QIDQ5340228

Alan Baker

Publication date: 1964

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

Full work available at URL: https://doi.org/10.1112/plms/s3-14.3.385

zbMATH Keywords

Rational approximation to algebraic numbers

Mathematics Subject Classification ID

Approximation to algebraic numbers (11J68)

Related Items

Simultaneous rational approximations and related diophantine equations ⋮ Rational approximations to \(\root 3\of 2\) and other algebraic numbers revisited ⋮ Irrationality measures for cubic irrationals whose conjugates Lie on a curve ⋮ Starting with gaps between k-free numbers ⋮ Simplifying method for algebraic approximation of certain algebraic numbers ⋮ Explicit lower bounds for linear forms with algebraic coefficients ⋮ On algebraic approximations of certain algebraic numbers. ⋮ Arithmetic properties of the Markov function for the Jacobi weight ⋮ Rational approximation to algebraic numbers of small height: the Diophantine equation |axn - byn|= 1 ⋮ The Diophantine equation \((x^{k} - 1)(y^{k} - 1) = (z^{k} - 1)^{t}\) ⋮ On the Diophantine equation |𝑎𝑥ⁿ-𝑏𝑦ⁿ|=1 ⋮ Estimation of the absolute value of a linear from logarithms of certain algebraic numbers ⋮ On representation of numbers by binary forms ⋮ Obituary of Alan Baker FRS ⋮ Abschätzungen einer unvollständigen linearen Form von gewissen algebraischen Zahlen ⋮ Irrationalité de certaines intégrales hypergéométriques. (Irrationality of certain hypergeometric integrals) ⋮ Counting solutions to trinomial Thue equations: a different approach