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The purpose of this paper is to prove functional equations of L-functions associated with the vector space of binary quadratic forms and determine their poles and residues. For a commutative ring K, let V(K) be the set of all symmetric matrices of degree 2 with coefficients in K. In V(C), we consider the inner product where for .doi:10.1017/s0027763000004475 fatcat:vr3wkknflbgvrn5ics6ep3bsme