Simultaneous approximation to values of the exponential function over the adeles

DOI10.1007/s00208-020-02005-5zbMath1459.11147arXiv1905.01678OpenAlexW3023007669WikidataQ115609080 ScholiaQ115609080MaRDI QIDQ785337

Damien Roy

Publication date: 6 August 2020

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

Full work available at URL: https://arxiv.org/abs/1905.01678

zbMATH Keywords

exponential functionHermite's approximationsimultaneous approximation by algebraic numbers

Mathematics Subject Classification ID

Lattices and convex bodies (number-theoretic aspects) (11H06) Measures of irrationality and of transcendence (11J82) Simultaneous homogeneous approximation, linear forms (11J13) Approximation in non-Archimedean valuations (11J61)

Related Items (1)

On the paths of steepest descent for the norm of a one variable complex polynomial

Cites Work

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• On Siegel's lemma
• Diophantine approximation
• Lectures on transcendental numbers. Edited and completed by B. Diviš and W. J. LeVeque
• Lemmes de Schwarz et lemmes d'approximations p-adiques en plusieurs variables
• Irrationalitätsmaße für \(e^ a , a \neq 0\) rational oder Liouville-Zahl
• La formule de Cauchy sur la longueur d’une courbe
• On Some Diophantine Inequalities Involving the Exponential Function

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