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C-parity-even quarkonia eta_b,c and chi_b,c with spin 0 and 2 are producedvia two-gluon fusion. The expected cross section of the inclusive production ofthe quarkonia at the LHC, times the branching ratios of convenient decays, isup to tens of nanobarn per unit rapidity in the case of charmonia and aroundone nanobarn for the bottomonia. Measuring the quarkonia production as functionof rapidity will allow to determine the gluon distribution function in nucleonsin a very broad range of the Bjorken x from x~10^(-2) where it is alreadyknown, down to x~10^(-6) where it is totally unknown. The scale of the gluondistribution found from such measurements turns out to be rather low, Q^2 ~ 2.5- 3 GeV^2, for charmonia and rather large, Q^2 ~ 20 GeV^2$, for bottomonia. Weevaluate the scale by studying the next-to-leading-order production crosssections.

Gluon distribution at very small x from C-even quarkonia production at the LHC