  We analyze controllability properties for the one-dimensional heat equation
with singular inverse-square potential $$ u_t-u_{xx}-\frac{\mu}{x^2}u=0,\;\;\;
(x,t)\in(0,1)\times(0,T).$$ For any $\mu<1/4$, we prove that the equation is
null controllable through a boundary control $f\in H^1(0,T)$ acting at the
singularity point $x=0$. This result is obtained employing the moment method by
Fattorini and Russell.
