R. Raghunathan, A CONVERSE THEOREM FOR DIRICHLET SERIES WITH POLES, Comptes rendus de l'Academie des sciences. Serie 1, Mathematique, 327(3), 1998, pp. 231-235
We prove a generalization of Hecke's converse theorem for Dirichlet se
ries with a finite number of poles, with no restrictions on their loca
tions. (C) Academie des Sciences/Elsevier, Paris