REPRESENTATIONS OF POSITIVE-DEFINITE QUADRATIC-FORMS WITH CONGRUENCE AND PRIMITIVE CONDITIONS .2.

Let M be a positive definite quadratic Z-module of rank m greater than or equal to 7 and T a finite set of primes containing 2 and those primes p for which M(p) is not unimodular. If N is a quadratic Z-module of rank 2 which is locally represented by M and if min(N) is sufficiently large then there exists a representation f:N --> M so that f approximates given local representations at T and f(N-p) is primitive in M(p) for all primes p is not an element of T. (C) 1995 Academic Press, Inc.