Title: A conjecture on the zeta functions of pairs of ternary quadratic forms,
Abstract: We consider the prehomogeneous vector space of pairs of ternary quadratic
forms. For the lattice of pairs of integral ternary quadratic forms and its
dual lattice, there are six zeta functions associated with the the
prehomogeneous vector space. We present a conjecture which states that there
are simple relations among the six zeta functions. We prove that the
coefficients coincide on fundamental discriminants.