In [5], Problem 9, page 47, Borevich and Shafarevich asked the following question: given a fixed rational prime , let Q be the field of -adic numbers and let Z be the ring of -adic integers. For a polynomial H(t1, · · · , ts) ∈ Z [t1, · · · , ts], let c(n;H) (or simply c(n) if there is no possible confusion) denote the number of zeroes of the reduction Hn(t1, · · · , ts) of H(t1, · · · , ts) in the residue ring Z / Z . Is then the Poincare series of H