ON THE DENOMINATORS OF THE TAYLOR COEFFICIENTS OF <i>G</i>-FUNCTIONS

DOI10.2206/kyushujm.71.287zbMath1415.11098arXiv1606.00706OpenAlexW2963521164MaRDI QIDQ4642750

Tanguy Rivoal, Stéphane Fischler

Publication date: 25 May 2018

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

Full work available at URL: https://arxiv.org/abs/1606.00706

zbMATH Keywords

\(G\)-functions\(p\)-adic differential equations\(G\)-operatorsChristol-Dwork theorem

Mathematics Subject Classification ID

(p)-adic differential equations (12H25) Irrationality; linear independence over a field (11J72)

Related Items (3)

Linear independence of values of \(G\)-functions ⋮ Irrationality of the values of \(\zeta_p(4, x)\) ⋮ Values of globally bounded $G$-functions

Cites Work

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• Growth of Solutions of Linear Differential Equations at a Logarithmic Singularity
• An Introduction to "G"-Functions. (AM-133)
• The complete generating function for Gessel walks is algebraic
• On Dwork’s 𝑝-adic formal congruences theorem and hypergeometric mirror maps

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