SIMULTANEOUS APPROXIMATION TO TWO REALS: BOUNDS FOR THE SECOND SUCCESSIVE MINIMUM

DOI10.1112/S0025579317000274zbMath1388.11037OpenAlexW2768837178MaRDI QIDQ4604486

Leonhard Summerer

Publication date: 26 February 2018

Published in: Mathematika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/s0025579317000274

zbMATH Keywords

Diophantine approximationparametric geometry of numbers

Mathematics Subject Classification ID

Lattices and convex bodies (number-theoretic aspects) (11H06) Simultaneous homogeneous approximation, linear forms (11J13)

Related Items (4)

On parametric geometry of numbers ⋮ On a question of Schmidt and Summerer concerning 3-systems ⋮ On geometry of numbers and uniform rational approximation to the Veronese curve ⋮ Optimality of two inequalities for exponents of Diophantine approximation

Cites Work

• On Schmidt and Summerer parametric geometry of numbers
• Diophantine approximation and parametric geometry of numbers
• The generalization of Jarník’s identity
• Exponents of Diophantine Approximation in Dimension Two
• Parametric geometry of numbers and applications
• On the topology of Diophantine approximation spectra

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