Singular series in the problem of the representation of a system of numbers by a system of forms

A system of Diophantine equations is considered for integers n₁,...,₂, $$\phi ^{\left( k \right)} \left( {x_1 , \ldots ,x_s } \right) = n_k \left( {k = 1, \ldots ,2} \right)$$ , Ф^(k)(x₁,...,x_s)=n_k (k=1,...,ρ), where Ф^(k) are integral forms of degree d is s variables. The singular integral and singular series of this problem are investigated.