Optimality of two inequalities for exponents of Diophantine approximation
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Publication:2112779
DOI10.1016/j.jnt.2022.09.003OpenAlexW3127846012MaRDI QIDQ2112779
Publication date: 12 January 2023
Published in: Journal of Number Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2102.03154
Measures of irrationality and of transcendence (11J82) Simultaneous homogeneous approximation, linear forms (11J13)
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Cites Work
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- Spectrum of the exponents of best rational approximation
- On Schmidt and Summerer parametric geometry of numbers
- On transfer inequalities in Diophantine approximation. II
- Diophantine approximation and parametric geometry of numbers
- On Diophantine exponents and Khintchine's transference principle
- A simple proof of Schmidt-Summerer's inequality
- Going-up theorems for simultaneous Diophantine approximation
- On geometry of numbers and uniform rational approximation to the Veronese curve
- On a question of Schmidt and Summerer concerning 3-systems
- Simultaneous approximation to three numbers
- A variational principle in the parametric geometry of numbers, with applications to metric Diophantine approximation
- The generalization of Jarník’s identity
- Intermediate Diophantine exponents and parametric geometry of numbers
- Exponents for three-dimensional simultaneous Diophantine approximations
- Exponents of Diophantine Approximation in Dimension Two
- Parametric geometry of numbers and applications
- SIMULTANEOUS APPROXIMATION TO TWO REALS: BOUNDS FOR THE SECOND SUCCESSIVE MINIMUM
- Sets of Fractional Dimensions (IV): On Rational Approximation to Real Numbers
- On the topology of Diophantine approximation spectra
- An optimal bound for the ratio between ordinary and uniform exponents of Diophantine approximation
- Counter-examples in parametric geometry of numbers
- Contribution to the linear and homogeneous Diophantine approximations
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