TTP98-01 Coulomb resummation for b{\bar b} system near threshold and precision determination of \alpha_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 found the pole mass of the bottom quark m_b=4.75 \pm 0.04 GeV and the strong coupling constant \alpha_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.