Coulomb resummation for $b \bar b$ system near threshold and precision   determination of $\al_s$ and $m_b$.
  We analyze sum rules for the $\Upsilon$ system with resummation of threshold effects on the basis of the nonrelativistic Coulomb approximation. We find for the pole mass of the bottom quark $m_b=4.75\pm 0.04 GeV$ and for the strong coupling constant $\al_s(M_Z)=0.118\pm 0.006$. The origin of the contradiction between two recent estimates obtained within the same formal framework is clarified. 
J.H.K\"uhn, A.A.Penin and A.A.Pivovarov