Holomorphic solutions of \(E\)-operators

DOI10.1007/s11856-017-1517-8zbMath1430.11103OpenAlexW2611071999MaRDI QIDQ2014286

Julien Roques, Tanguy Rivoal

Publication date: 10 August 2017

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11856-017-1517-8

zbMATH Keywords

local solutions\(E\)-operators

Mathematics Subject Classification ID

Power series (including lacunary series) in one complex variable (30B10) Transcendence theory of other special functions (11J91) Other functions coming from differential, difference and integral equations (33E30)

Related Items (4)

Factors of \(E\)-operators with an \(\eta\)-apparent singularity at zero ⋮ Values of globally bounded $G$-functions ⋮ On the algebraic dependence ofE-functions ⋮ Siegel's problem for \(E\)-functions of order 2

Cites Work

• Arithmetic theory of \(E\)-operators
• 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
• Le théorème de Siegel–Shidlovsky revisité
• On applications of diophantine approximations
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