A gamma radiation from pulsars due to inverse Compton scattering of coherent low-frequency radiation on relativistic electrons in a polar gap have been considered. The radio emission in the gap arises due to sub relativistic electron acceleration. The gamma radiation spectrum and luminosity estimates have been obtained and connection between gamma radiation and radio emission spectra has been found. Obtained results are in a good agreement with the discovered by Fermi LAT correlation of gamma radiation and radio emission giant pulses in the Crab pulsar.
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