\relax Recently, the moments of multiplicity distributions in e⁺e^- annihilation and the ratios H_q (cumulant over factorial moments K_q/F_q) have been determined both for the hadronic final state and for jets at variable resolution. These ratios show an oscillatory behaviour as function of q with strong dependence of the amplitude and length of oscillation on the jet resolution parameter y_cut. The recent explanation of this phenomenon based on perturbative QCD calculations is discussed. \relax

PACS numbers: 12.38.Cy, 13.66.Bc, 13.87.Fh