Bottom and Charm Production at LHC and RHIC

We study $b\bar{b}$ and $c\bar{c}$ production and the influence of nuclear shadowing at LHC and RHIC energies. We find a significant reduction in the production cross section of both charm and bottom at RHIC and LHC. Bound states such as $\Upsilon$ and $J/\Psi$ are suppressed by this reduction in the charm production cross sections. Therefore, $J/\Psi$ suppression may not be useful as a signature for the quark gluon plasma.