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Hilbert's irreducibility theorem and \(G\)-functions

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Publication:1374733
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DOI10.1007/s002080050124zbMath0892.11024OpenAlexW2089902210MaRDI QIDQ1374733

Pierre Dèbes, Umberto Zannier

Publication date: 10 December 1997

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s002080050124


zbMATH Keywords

\(G\)-functionslinear independenceHilbert's irreducibility theorem


Mathematics Subject Classification ID

Transcendence theory of other special functions (11J91) Other functions defined by series and integrals (33E20) Other functions coming from differential, difference and integral equations (33E30) Hilbertian fields; Hilbert's irreducibility theorem (12E25) Irrationality; linear independence over a field (11J72)


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Finiteness theorems on elliptical billiards and a variant of the dynamical Mordell–Lang conjecture



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