Geodesic
On the algebraic dependence of the components of solutions of a~system of linear differential equations
Izvestiya. Mathematics , Tome 8 (1974) no. 3, pp. 501-518

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A description is given of the set of algebraic equations that connect the components of the solutions of a system of linear differential equations. The result thus obtained is applied to the proof of a theorem on the estimates of the orders of the zeros. 
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     author = {Yu. V. Nesterenko},
     title = {On the algebraic dependence of the components of solutions of a~system of linear differential equations},
     journal = {Izvestiya. Mathematics },
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Yu. V. Nesterenko. On the algebraic dependence of the components of solutions of a~system of linear differential equations. Izvestiya. Mathematics , Tome 8 (1974) no. 3, pp. 501-518. http://geodesic.mathdoc.fr/item/IM2_1974_8_3_a4/