The Observer wrote:
I am talking about specific functions, in this case, a dirichlet L-series. I read in a paper a while back that the derivative of certain dirichlet series will never equal zero when the series equals zero. I am just curious about this, they did not provide a proof, they just mentioned it. If anyone has a proof of this or a way of checking this, it would be useful for what I'm working on.
"What I'm working on" is not generally a good motivator. If you can speak on which series you're talking about, or which paper you're referencing, or something more specific we might be able to help you.