Erratum to "Solutions problem 89-2: On the principal value of a   quadruple integral", SIAM Rev. 32 (1990) 143
  W. B. Jordan's conclusion that the quadruple principal value integral in problem 89-2 vanishes does not hold. The error sneaks in through a contribution of a subintegral which impedes some sign symmetry with respect to the master parameter (the Fermi radius) and which was overlooked in the published solution. In summary, the original problem of solving the quadruple integral remains unsolved. 
Richard J. Mathar
math.GM