Arithmetic Gevrey series and transcendence. A survey.

DOI10.5802/jtnb.383zbMath1136.11315OpenAlexW2325413313MaRDI QIDQ1424566

Yves André

Publication date: 16 March 2004

Published in: Journal de Théorie des Nombres de Bordeaux (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=JTNB_2003__15_1_1_0

Mathematics Subject Classification ID

Transcendence (general theory) (11J81)

Related Items (9)

Entire functions with undecidable arithmetic properties ⋮ Renormalization, isogenies, and rational symmetries of differential equations ⋮ Logarithms of algebraic numbers ⋮ Is the full susceptibility of the square-lattice Ising model a differentially algebraic function? ⋮ Algebraic properties of Э-functions ⋮ The rational points of a definable set ⋮ Rational approximations for values of derivatives of the Gamma function ⋮ Euler’s constant: Euler’s work and modern developments ⋮ Undecidable arithmetic properties of solutions of Fredholm integral equations

Cites Work

• Unnamed Item
• Gevrey series of arithmetic type. I: Purity and duality theorems
• Gevrey series of arithmetic type. II: Transcendence without transcendence
• Transcendental numbers. With a foreword by W. Dale Brownawell. Transl. from the Russian by Neal Koblitz
• Algebraic values of G-functions.
• Théorie des motifs et interprétation géométrique des valeurs p-adiques de G-functions (une introduction)
• G-fonctions et transcendance.

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