A conjecture on the zeta functions of pairs of ternary quadratic forms
A conjecture on the zeta functions of pairs of ternary quadratic forms
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 …