Algebraic properties of Э-functions

DOI10.1016/j.jnt.2021.04.010zbMath1489.11106OpenAlexW3167141111WikidataQ114157006 ScholiaQ114157006MaRDI QIDQ1981591

Timothy Ferguson

Publication date: 6 September 2021

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2021.04.010

zbMATH Keywords

differential equationstranscendental numbersarithmetic special functions

Mathematics Subject Classification ID

Transcendence theory of other special functions (11J91) Linear differential equations in abstract spaces (34G10) Symbolic computation of special functions (Gosper and Zeilberger algorithms, etc.) (33F10)

Cites Work

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• An introduction to pseudo-linear algebra
• Arithmetic Gevrey series and transcendence. A survey.
• Gevrey series of arithmetic type. I: Purity and duality theorems
• Gevrey series of arithmetic type. II: Transcendence without transcendence
• Computation of all rational solutions of first-order algebraic ODEs
• Deciding the existence of rational general solutions for first-order algebraic ODEs
• On rational solutions of systems of linear differential equations
• A refined version of the Siegel-Shidlovskii theorem
• On applications of diophantine approximations
• Exceptional values of E-functions at algebraic points

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