Badly approximable numbers and Littlewood-type problems

DOI10.1017/S0305004110000605zbMath1231.11071arXiv0905.0830OpenAlexW2963035292MaRDI QIDQ3081466

Yann Bugeaud, Nikolay G. Moshchevitin

Publication date: 8 March 2011

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

Full work available at URL: https://arxiv.org/abs/0905.0830

zbMATH Keywords

badly approximable numbers

Mathematics Subject Classification ID

Simultaneous homogeneous approximation, linear forms (11J13) Homogeneous approximation to one number (11J04) Approximation in non-Archimedean valuations (11J61)

Related Items (12)

Asymptotic Diophantine approximation: the multiplicative case ⋮ Multiplicatively badly approximable matrices up to logarithmic factors ⋮ On fractional parts of powers of real numbers close to 1 ⋮ Linear forms at a basis of an algebraic number field ⋮ Multiplicatively badly approximable numbers and generalised Cantor sets ⋮ On a problem in simultaneous Diophantine approximation: Schmidt's conjecture ⋮ METRIC CONSIDERATIONS CONCERNING THE MIXED LITTLEWOOD CONJECTURE ⋮ ON MULTIPLICATIVELY BADLY APPROXIMABLE NUMBERS ⋮ Diophantine approximations and directional discrepancy of rotated lattices ⋮ Computation of the Infimum in the Littlewood Conjecture ⋮ THE MIXED SCHMIDT CONJECTURE IN THE THEORY OF DIOPHANTINE APPROXIMATION ⋮ SOME REFINED RESULTS ON THE MIXED LITTLEWOOD CONJECTURE FOR PSEUDO-ABSOLUTE VALUES

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