  We find the asymptotics of the counting function of zeroes of random entire
functions represented by Rademacher Taylor series. We also give the asymptotics
of the weighted counting function, which takes into account the arguments of
zeroes. These results answer several questions left open after the pioneering
work of Littlewood and Offord of 1948.
  The proofs are based on our recent result on the logarithmic integrability of
Rademacher Fourier series.
