%0 Journal Article %A R. A. Sarkisyan %T Rationality of the Poincar\'e series in Arnold's local problems of analysis %J Izvestiya. Mathematics %D 2010 %P 411-438 %V 74 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/item/IM2_2010_74_2_a6/ %G en %F IM2_2010_74_2_a6