Values of general dirichlet series and simultaneous diophantine approximation

We show a joint denseness theorem for values of a general Dirichlet series ( sumnolimits_{n = 1}^infty {{{text{a}}_n}{{text{e}}^{ - {lambda_n}s}}} ) in a certain class and its derivatives, where the numbers {λ _n } are not necessarily linearly independent over ( mathbb{Q} ).