Addendum to the paper "Characteristic Cycles of Perverse Sheaves and   Milnor Fibers"
  We note that Theorem 5.4 of the paper ``Characteristic cycles of perverse sheaves and Milnor fibers" (by P. Nang and K. Takeuchi, published online in Math. Zeitschrift, October 15, 2004) holds for "any" non-zero complex number $a$. 
Philibert Nang and Kiyoshi Takeuchi