(1.3) (2P7r)-isAl(s)cV(s) = (2P7Tr)4 ( S)M( S) of the following description. We have (1.4) A1(s) = F1' (p fs + Cf), (1.5) A2(S) = ll'+1 F(pS + Ce), where G > 1, H-G > 1, HG ;G. The numbers c1, * C , cH are unrestricted complex constants. The constants p1, ** , PH however are real numbers, and (1.6) PA > ?, h 1, * H (1.7) Ah + Pa + * + PHl= Actually we will assume more precisely that we have (1.8) PI+ ** + Pa = 1/2 =PG+l + * * * + PH but only after verifying first that the possibility of (1.9) PA + *-+ Pa # Pail + *-+ PH is not meaningful to our contexts. Finally, we will always assume that the positive constant P in (1.3) has a specified value, namely (1. 10) P = P1P' P2 * ... *,PhP. If P were left unspecified it would burden the wording of our theorems unprofitably. As in [3] and [1], a solution {'v(s), 0b(s)} of (1.3) consists of the following data. Firstly there are given two Dirichlet series with unrelated ex29