Siegel's problem for \(E\)-functions of order 2

DOI10.1007/978-3-030-84304-5_21OpenAlexW3208589802MaRDI QIDQ2097089

Julien Roques, Tanguy Rivoal

Publication date: 11 November 2022

Full work available at URL: https://doi.org/10.1007/978-3-030-84304-5_21

Mathematics Subject Classification ID

Transcendence theory of other special functions (11J91) Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials (14F10) Transcendence (general theory) (11J81)

Related Items (3)

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

Cites Work

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• Local Fourier transforms and rigidity for \({\mathcal D}\)-modules
• A refined version of the Siegel-Shidlovskii theorem
• On the structure of the set of \(E\)-functions satisfying linear differential equations of second order
• On the algebraic dependence ofE-functions
• On applications of diophantine approximations
• Exponential Sums and Differential Equations. (AM-124)
• An example of an arithmetic Fuchsian group.
• Rigid irregular connections on ℙ¹
• Transcendental Numbers. (AM-16)

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