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An arithmetic criterion for the values of the exponential function

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Publication:2717595
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DOI10.4064/aa97-2-6zbMath0981.11025OpenAlexW2082604666MaRDI QIDQ2717595

Damien Roy

Publication date: 17 June 2001

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/aa97-2-6


zbMATH Keywords

exponential functionSchanuels's conjecture


Mathematics Subject Classification ID

Algebraic independence; Gel'fond's method (11J85) Measures of irrationality and of transcendence (11J82)


Related Items (8)

A SMALL VALUE ESTIMATE FOR ⋮ The Four Exponentials Problem and Schanuel’s Conjecture ⋮ An effective version of the Lindemann-Weierstrass theorem using algebraic independence methods ⋮ SMALL VALUE ESTIMATES FOR THE ADDITIVE GROUP ⋮ Use of complex conjugation in the transcendence of values of the usual exponential function ⋮ Auxiliary functions in transcendental number theory ⋮ Interpolation formulas and auxiliary functions ⋮ An interpolation formula for two variables







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