AVERAGE NUMBER OF JETS IN DEEP-INELASTIC SCATTERING

Using the recently formulated k perpendicular-to-clustering algorithm for lepton-hadron collisions, we compute the average number of hadroni c jets produced in deep inelastic scattering, as a function of the mom entum transfer Q2, the Bjorken variable x and the jet resolution param eter f(cut). For small values of f(cut) we are able to resum leading a nd next-to-leading loprithms of f(cut) to all orders in QCD perturbati on theory. The result is simply related to the average jet multiplicit y in e+ e- annihilation, with a structure-function-dependent correctio n. For larger values of f(cut) we match the resummed predictions to fi rst-order numerical results.