On the algebraic dependence ofE-functions

DOI10.1112/blms/bdw003zbMath1398.30016OpenAlexW2309851493MaRDI QIDQ2801721

Tanguy Rivoal, Julien Roques

Publication date: 21 April 2016

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/blms/bdw003

Mathematics Subject Classification ID

Transcendence theory of other special functions (11J91) Singularities, monodromy and local behavior of solutions to ordinary differential equations in the complex domain, normal forms (34M35) Special classes of entire functions of one complex variable and growth estimates (30D15)

Related Items

A note on $G$-operators of order $2$ ⋮ On Siegel's problem for \(E\)-functions ⋮ Siegel's problem for \(E\)-functions of order 2

Cites Work

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• Arithmetic theory of \(E\)-operators
• An algorithm for solving second order linear homogeneous differential equations
• Siegel normality
• 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
• Holomorphic solutions of \(E\)-operators
• A refined version of the Siegel-Shidlovskii theorem
• Linear independence of values of $ E$-functions
• Неприводимость гипергеометрических уравнений и алгебраическая независимость значений E-функций

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