On convergence of singular series for a pair of quadratic forms.

摘要

Examining the system of Diophantine equations f1x=x 21+...x2n =n1,f 2x=l1 x21+...ln x2n=n2, with lambdai ≠ lambda j and nui, lambda i ∈ Z , we show that the singular series S(nu) converges if n ≥ 6.