A lower estimate for \(\| e^n \|\)

DOI10.1016/j.jnt.2009.11.011zbMath1201.11074OpenAlexW2016758582MaRDI QIDQ982522

Masayoshi Hata

Publication date: 7 July 2010

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2009.11.011

zbMATH Keywords

fractional partHermite-Padé approximationdiophantine inequalitiesgeometric sequences

Mathematics Subject Classification ID

Diophantine inequalities (11J25) Distribution modulo one (11J71)

Cites Work

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• On the rational approximations to the powers of an algebraic number: solution of two problems of Mahler and Mendès France
• Hermite-Padé approximants to exponential functions and an inequality of Mahler
• Applications of some formulae by Hermite to the approximation of exponentials and logarithms
• Note on the fractional parts of λθⁿ
• On the Powers of Some Transcendental Numbers
• On the approximation of logarithms of algebraic numbers

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