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We consider infinite Jacobi matrices with ones off-diagonal, and independent identically distributed random variables with distributionF(v)dv on-diagonal. IfF has compact support and lies in some Sobolev spaceLa1, then we prove that the integrated density of states,k(E), isC8 inE.

Harmonic analysis on SL(2,R) and smoothness of the density of states in the one-dimensional Anderson model