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In the present paper a self-consistent theory, interpreting the VERITASobservations of the very high energy pulsed emission from the Crab pulsar isconsidered. The photon spectrum between 10MeV and 400GeV can be described bytwo power-law functions with the spectral indexes equal to 2 and 3.8. Thesource of the pulsed emission above 10MeV is assumed to be the synchrotronradiation, which is generated near the light cylinder during the quasi-linearstage of the cyclotron instability. The emitting particles are the primary beamelectrons with the Lorentz factors up to $10^{9}$. Such high energies by beamparticles is supposed to be reached due to Landau damping of the centrifugallyinduced Langmuir waves. This mechanism provides simultaneous generation of low(radio) and high energy (10MeV-400GeV) emission on the light cylinder scales,in one location of the pulsar magnetosphere.

On the spectrum of the pulsed gamma-ray emission from 10MeV to 400GeV of the Crab pulsar