Is there a database of Dirichlet Series?

Question

I didn't think this would be difficult to find given how old and allegedly well-researched the subject is, but I haven't been able to find a list of explicitly known Dirichlet Series. There is the simple case being equivalent to The Riemann zeta function, but it appears no one has been able to compile more than that. For instance, it should contain entries such as $\sum_{n=1}^{\infty}\frac{1}{n^s} = \ldots$ , $\sum_{n=1}^{\infty}\frac{(-1)^n}{n^s} = \ldots$ , $\sum_{n=1}^{\infty}\frac{\log(n)}{n^s}\ldots$ , $\sum_{n=1}^{\infty}\frac{\cot(\pi n)}{n^s} =\ldots$ and so on.

Answer 1

This might approach what you are looking for: "A Catalog of Interesting Dirichlet Series" by H. W. Gould and Temba Shonhiwa.