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Moscow Mathematical Journal, 2003, Volume 3, Number 2, Pages 551–591
DOI: https://doi.org/10.17323/1609-4514-2003-3-2-551-591 (Mi mmj100) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Quasialgebraicity of Picard–Vessiot fields

D. Novikova, S. Yu. Yakovenkob

a Department of Mathematics, University of Toronto
b Weizmann Institute of Science
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DOI: https://doi.org/10.17323/1609-4514-2003-3-2-551-591
Abstract: We prove that under certain spectral assumptions on the monodromy group, solutions of Fuchsian systems of linear equations on the Riemann sphere admit explicit global uniform bounds on the number of their isolated zeros in a way remotely resembling algebraic functions of one variable.
Key words and phrases: Fuchsian systems, complex zeros, monodromy.
Received: July 3, 2002
Bibliographic databases:
MSC: Primary 34C08, 34M10; Secondary 34M15, 14Q20, 32S40, 32S65
Language: English
Citation: D. Novikov, S. Yu. Yakovenko, “Quasialgebraicity of Picard–Vessiot fields”, Mosc. Math. J., 3:2 (2003), 551–591
Citation in format AMSBIB
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\paper Quasialgebraicity of Picard--Vessiot fields
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\issue 2
\pages 551--591
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