On transfer inequalities in Diophantine approximation. II

DOI10.1007/s00209-009-0512-0zbMath1234.11086arXiv0811.2102OpenAlexW2021888967MaRDI QIDQ971906

Michel Laurent, Yann Bugeaud

Publication date: 17 May 2010

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0811.2102

Mathematics Subject Classification ID

Diophantine inequalities (11J25) Simultaneous homogeneous approximation, linear forms (11J13) Diophantine approximation in probabilistic number theory (11K60) Mean value and transfer theorems (11H60)

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Spectrum of the exponents of best rational approximation ⋮ Dirichlet is not just bad and singular ⋮ Multiparametric geometry of numbers and its application to splitting transference theorems ⋮ Diophantine sets and Dirichlet improvability ⋮ Unnamed Item ⋮ The complex case of Schmidt's going-down theorem ⋮ Construction of points realizing the regular systems of Wolfgang Schmidt and Leonard Summerer ⋮ Diophantine approximation and parametric geometry of numbers ⋮ Dense forests constructed from grids ⋮ Geometry of Diophantine exponents ⋮ On simultaneous rational approximation to a real number and its integral powers ⋮ Badly approximable matrices and Diophantine exponents ⋮ Cut‐and‐project quasicrystals, lattices and dense forests ⋮ Effective equidistribution for multiplicative Diophantine approximation on lines ⋮ On parametric geometry of numbers ⋮ Irrationality exponent and rational approximations with prescribed growth ⋮ On Schmidt and Summerer parametric geometry of numbers ⋮ Going-up theorems for simultaneous Diophantine approximation ⋮ On geometry of numbers and uniform rational approximation to the Veronese curve ⋮ Higher-rank Bohr sets and multiplicative diophantine approximation ⋮ Optimality of two inequalities for exponents of Diophantine approximation ⋮ Nesterenko's linear independence criterion for vectors

Cites Work

• Diophantine approximation
• Exponents of Diophantine approximation and Sturmian continued fractions.
• On heights of algebraic subspaces and diophantine approximations
• On Simultaneous Diophantine Approximations
• On Compound Convex Bodies (I)
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