  A new calculation of the isospin and hypercharge axialvector current
propagators ($\Delta_{A33}^{\mu\nu}(q^2)$ and $\Delta_{A88}^{\mu\nu}(q^2)$) to
two loops in SU(3) x SU(3) chiral perturbation theory is used to derive chiral
spectral function sum rules valid to second order in the light quark masses.
Explicit forms are given for the three-pion isospin axialvector spectral
functions at low energy and application of the sum rules to the determination
of counterterms of the chiral lagrangian is discussed.
