General Dirichlet series, arithmetic convolution equations and Laplace transforms

Helge Glockner, Lutz G. Lucht, Stefan Porubsky

In an earlier paper, we studied solutions g to convolution equations of the form a_d*g^{*d}+a_{d-1}*g^{*(d-1)}+...+a_1*g+a_0=0, where a_0, ..., a_d are given arithmetic functions a…