they all coincide with that of Eq. (\[ccsc\]).

In order to check if this property is completely general, namely if every observable is characterized by the same exponents and scaling functions for $p=2,3,4$, besides the correlation functions we have also computed the integrated autoresponse function (t,s)=\_s \^t dt’ R(t,t’). \[integrated\] Here R(t,t’)=\_ . \_[h\_i=0]{}, $\alpha =1,2$ being the generic vector components, is the linear autoresponse function associated to the perturbation caused by an impulsive magnetic field $\vec h _i$ switched on at time $t'<t$. In the Ising model [@Lippiello00], in the $T\to 0$ limit one finds (t,s)=f(t/s), \[ccschichi\] with f(y)= (1-). \[ccschi\] Here we measure the response function using the efficient method derived in [@Lippiello05] without applying the perturbation.

The behavior of $\chi (t,s)$ is shown in Fig. \[figchi1\] for the cases $p=2,3,4$. One finds collapse of the curves with different $s$ on a mastercurve $f(y)$, as in Eq. (\[ccschichi\]) for $p=2$. Also in this case mastercurves $f(y)$ for different $p$ are numerically indistinguishable. In conclusion, then, our data for $G(r,t)$, $C(t,s)$ and $\chi (t,s)$ confirm that the cases with $p=2,3,4$ share the same exponents and scaling functions. Notice that having the same scaling function both for $C(t,s)$ and $\chi 