Algebraic independence of the values of \(E\)-functions at singular points and Siegel's conjecture

DOI10.1007/BF02686240zbMath0972.11064WikidataQ122955725 ScholiaQ122955725MaRDI QIDQ1582960

V. A. Gorelov

Publication date: 13 November 2001

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

algebraic independenceSiegel's conjectureSiegel-Shidlovskij methodvalues of \(E\)-functions at singular points

Mathematics Subject Classification ID

Algebraic independence; Gel'fond's method (11J85) Transcendence theory of other special functions (11J91) Simultaneous homogeneous approximation, linear forms (11J13)

Related Items

A note on $G$-operators of order $2$, Minimization of differential equations and algebraic values of 𝐸-functions, On Siegel's problem for \(E\)-functions, On the weakened Siegel's conjecture, On the structure of the set of \(E\)-functions satisfying linear differential equations of second order, Siegel's problem for \(E\)-functions of order 2

Cites Work

• On a criterion for Siegel's hypergeometric functions to belong. to the class of E-functions
• Transcendental Numbers. (AM-16)
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