Multiple gaps in quantum Hall effect including review of prl 1998-2001   papers
  The fractions of constant conductivity, i, where the conductivity is ie^2/h are interpretted to arise from the summation of two frequencies, \omega_1+ \omega_2, type of processes so that the quantum Hall effect becomes a problem of spectroscopic energy levels. We describe the conversion of resistivity to the frequency spectrum. An effort is made to look at the recent articles from the Phys. Rev. Lett. 1998-2001, to see if there are any data which does not agree with our theory.   It is found that all of the data agrees with our theory, The papers which claim to provide the theoretical base are found to be irrelevant to the experimental data. 
Keshav N. Shrivastava