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We study local analytical integrability in a neighborhood of $p:-q$ resonantsingular point of a two-dimensional vector field and its connection totime-reversibility with respect to the non-smooth involution $\varphi(x,y)=(y^{p/q},x^{q/p}). $ Some generalizations of the theory developedby K.~S.~Sibirsky for $1:-1$ resonant case to the $p:-q$ resonant case arepresented.

Time-reversibility and integrability of p:-q resonant vector fields