A Geometric Face of Diophantine Analysis

DOI10.1007/978-3-319-48817-2_3zbMath1416.11121OpenAlexW2187329057MaRDI QIDQ5272914

Tapani Matala-aho

Publication date: 5 July 2017

Published in: Trends in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-48817-2_3

zbMATH Keywords

Diophantine inequalitiesgeometry of numbersGrassmann algebraSiegel's lemmarational subspaceMinkowski's convex body theorems

Mathematics Subject Classification ID

Lattices and convex bodies (number-theoretic aspects) (11H06) Measures of irrationality and of transcendence (11J82) Diophantine inequalities (11J25) Transcendence (general theory) (11J81)

Related Items (1)

Hermite-Thue equation: Padé approximations and Siegel's lemma

Cites Work

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• Recent progress in the theory of minimal surfaces
• On Siegel's lemma
• Diophantine approximation
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• On Baker type lower bounds for linear forms
• On a paper by A. Baker on the approximation of rational powers of e
• On Some Diophantine Inequalities Involving the Exponential Function
• An explicit Baker-type lower bound of exponential values

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